BOSTON -- A son of Sen. Edward Kennedy says he and his siblings grew up anxious about their father's safety and worried he'd meet the same fate as his slain brothers.

In a "60 Minutes" interview airing Sunday on CBS, Ted Kennedy Jr. says his father kept bulletproof vests in a coat closet at home. He says whenever the senator appeared in public, he and siblings Patrick and Kara always had in the back of their minds some "crazy person" might try "to make a name for themselves."

The "60 Minutes" segment includes previously unreleased footage of the last videotaped interview the senator did before his death last month of brain cancer. The interview was conducted by the publisher and editor who worked with him on his memoir, "True Compass," slated for release Monday.

Sen. Kennedy died last month at 77 after battling brain cancer for more than a year. He was laid to rest last month alongside his slain brothers John, who was assassinated as president in 1963, and Robert, who was assassinated in 1968 while running for the Democratic presidential nomination.

Ted Kennedy's career spanned both those assassinations, as well as the civil rights era and Apollo moon landings; and battles over health, education and immigration.