Presidential candidates, their campaign teams, scores of reporters and buckets of cash raced for New Hampshire Friday morning , after abandoning Iowa for the first-in-the-nation primary to be held Tuesday.

Iowa caucuses winners Barack Obama and Mike Huckabee hope that four solid days of campaigning in New Hampshire will be enough to build on the momentum of hard-fought victories in the Hawkeye State. But the voters of New Hampshire are a vastly different breed than in Iowa, with a different set of priorities that challengers are seeking to capitalize on to diminish the impact of the Iowa outcome. 

In general, New Hampshire's Republicans care more about limiting taxes and less about a conservative Christian president. Granite State Democrats are looking for a candidate who can get the U.S. out of Iraq as much as they want "change" back in Washington. 

Those challenges present opportunities for the aspiring frontrunners, Obama and Huckabee, who took home gold in Thursday's caucuses, besting well-organized and funded opponents.

Click here to see a photo essay from the campaign trail.

With 100 percent of the precincts reporting Thursday evening, Obama had 38 percent of the vote while John Edwards had 30 percent and Hillary Clinton had 29 percent. Bill Richardson had 2 percent. Delaware Sen. Joe Biden earned 1 percent.

After the caucuses Biden and Democratic Sen. Chris Dodd of Connecticut both announced they were dropping out of the 2008 presidential race after poor showings. Dodd registered at 0.2 percent in the Iowa polls.

On the Republican side, with 96 percent of precincts reporting, Huckabee had 34 percent and Mitt Romney had 25 percent. Fred Thompson and John McCain were in a close race for third with 13 percent each. Ron Paul garnered 10 percent of the vote, including winning Jefferson County. Rudy Giuliani pulled 3 percent, though he did not campaign there.

Huckabee told a crowd of enthusiastic supporters Thursday that the Iowa victory would “start a prairie fire of new hope and zeal."

"I’m amazed but I'm encouraged because tonight what we have seen is a new day in American politics," he said. "Tonight it starts here in Iowa, but it doesn’t end here. It goes all the way through the other states and ends at 1600 Pennsylvania Avenue."

The Iowa caucuses were more heavily attended than had been expected. The Iowa Democratic Party said it had experienced record turnout, with 96 percent of precincts reporting 227,000 caucus-goers.

The heavy turnout favored Obama, who fashioned himself as the candidate of change and was heavily courting first-time caucus-goers. Huckabee campaign manager Chip Saltzman reported that the former Arkansas governor was delayed 30 minutes trying to access a caucus site in Waterloo.

Waterloo is in rural Iowa, Black Hawk County, about 90 minutes by car from Des Moines. Traffic into the caucus location was “at a standstill,” Saltzman said.

Obama rested on the themes on hope and change that have built his campaign from the start, and re-pledged several campaign promises, including trying to find solutions for global problems and pulling troops out of Iraq.

"They said our sights were set too high, they said this country was too divided, too disillusioned to ever come together around a common purpose, but on this January night, at this defining moment in history, you have done what the cynics said we couldn’t do," Obama told an enthusiastic crowd of supporters. "We are choosing hope over fear, we’re choosing unity over division and sending a powerful message that change is coming to America."

Caucus-goers enter the Lovejoy Elementary School in Des Moines (AP Photo).

 Senior Obama adviser David Axelrod said to put the massive turnout in perspective, in 2004, 124,000 Democrats came to the caucuses. Click here to watch Axelrod's comments.

Speaking to her supporters with husband Bill Clinton and daughter Chelsea by her side, Clinton congratulated Obama and said she was "ready for the rest of the campaign and so ready to lead."

"Now, you know, we have always planned to run a national campaign all the way through the early contests, because I want the people of America, and particularly Democrats, and like-minded independents and Republicans who have seen the light to understand, number one, that the stakes are huge, that the job is enormous, but that I believe we're going to make the right decision," she said.

Edwards' campaign released a statement after midnight saying he called to congratulate Obama, whom he has been competing with for the mantle of change. But the former North Carolina senator did not offer his congratulations during his post-caucus rally. Instead, Edwards spoke largely about a key issue on the trail, universal health care, and said the election results show that he is on the right track.

"The one thing that's clear from the results in Iowa tonight is the status quo lost and change won," he said. "What happened tonight is the Iowa caucus-goers said, we want something different. We are going to stand up, we are going to rise up, we're going to create an America that all of us believe in."

Des Moines Register Political Columnist David Yepsen said the results suggest that caucus-goers who liked the "change" argument and didn't want Clinton broke for Obama over Edwards.

"Obama has won the battle for the anti-Hillary vote with John Edwards, and I think that's part of the story tonight," he told FOX News.

Ed Rollins, Huckabee's national campaign chairman who was brought on late in the game, told FOX News that the former Arkansas governor "came from nowhere," with little money and a small campaign, to achieve the victory in Iowa.

"I think it's the power of the message, but more importantly the power of the messenger," Rollins said. "It's gonna give us some momentum ... This is a great, great candidate and obviously the voters in Iowa saw that."

The Romney campaign said it considered Huckabee's campaign to be "a one-hit wonder," as the former Arkansas governor does not have the organization or money to launch a nationwide campaign.

Romney was gracious, however, when conceding Huckabee's victory.

"This is obviously a bit like a baseball game," he told FOX News. "First inning in, well it’s a 50-inning ballgame. I’m gonna keep on battling all the way and anticipate I get the nomination when it’s all said and done, but you know congratulations for the first round to Mike, and we’ll go on to New Hampshire."

Speaking to supporters, Romney said Iowa hasn't seen the last of him.

"You have so inspired us. You so moved us. We will always remember our dear friends here in Iowa. And I'm planning on coming back in the general election, when we take on whoever it is the Democrats nominate, and beat them," he said.

First-tier candidates were hoping for break-out numbers to distinguish them in a hotly-contested race. The fate of a few second-tier contestants was hanging in the balance, as Dodd's and Biden's departures demonstrated.

The high turnout excited many caucus-goers. Registration at one precinct at Iowa State Historical Museum was 40 percent. That was nearly four times the amount the Democratic precinct chairman was expecting. Chairman Jack Porter of the 64th Democratic precinct in Des Moines told caucus-goers right before the 7 pm deadline for registration to participate that "everyone who wants to register can register," generating strong applause from those in the room.

How It Happened

Public schools, libraries, churches and city halls were filled to capacity as Iowa's decision-makers cast their votes to choose delegates to attend a series of conventions that will determine the state's representatives to the Democratic and Republican national conventions next summer.

The state sends 45 pledged and 12 unpledged Democratic delegates to Denver for the national convention in August. Forty Republican delegates represent Iowa at the September national convention in Minneapolis-St. Paul.

Once they arrived, caucus-goers were assigned a location in each of the caucuses sites. For Democrats, after arriving, voters checked off their names and were given a sticker with a numerical designation. The chairman of the precinct was to start his watch at 7 p.m. and give voters 30 minutes to spill into the corners of the room where each candidate has a designated spot for supporters. The vote started late in some places as people were still registering.

After 30 minutes, the chairman counted up the people at each of the spots to make sure there were enough to represent the minimum 15 percent of all the eligible caucus-goers in the precinct. If the candidate didn't meet the 15 percent threshold, his or her supporters are given a second chance to regroup and pick another candidate or convince others to join them.

The formula used to multiply the number of members in a candidate's corner by the total number of delegates elected at the caucus and divide that by the total number of eligible caucus attendees.

(An example: If 150 people show up to a caucus that is to elect four or more delegates, a candidate must get at least 25 people in his or her corner to be viable. If a candidate has 25 caucus-goers in his corner, then following the formula, 25 x 4/150 = .67 percent, rounded up to one, the candidate wins one delegate).

The chairman then phoned in the allocated delegates to the central database.

The Republicans had a much simpler process. It was a straw poll. Caucus-goers wrote the name they wanted and stuck it in a box. The names were counted up and the delegates apportioned by percentages.

FOX News' Bill Hemmer, Caroline Shively and Lee Ross contributed to this report.