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Bristol Palin: I'll "Probably" Run for Office One Day

Bristol Palin arrives at ABC's "Dancing with the Stars" 200th episode party on Nov. 1, 2010, in Los Angeles.
Alberto E. Rodriguez/Getty Images
Bristol Palin at ABC's "Dancing With The Stars" 200th episode party on Nov. 1, 2010, in Los Angeles.

NEW YORK (CBS) Bristol Palin has plans to follow in her mother's political footsteps.

The daughter of former vice presidential candidate Sarah Palin says she would "probably" run for office one day, "but that would be further down the road."

PICTURES: Bristol Palin

"If I saw something that needed to be changed, then I would step up to the plate and do something about it," she told E! News' Guiliana Rancic in an interview airing Thursday night.

Palin took Rancic on a tour of her new home in Arizona.

The 20-year-old admitted that she has no friends in Arizona, and that she spends most of her time looking after her son, 2-year-old Tripp. But she was offered a job at a local radio station, something that Palin said she's considering.

"We are in the works with them," she said of the potential job, adding that nothing is yet set in stone. "Just to see when and what the logistics and stuff of it but it would be a lot of fun."

She also told Rancic about her new boyfriend, Gino, with whom she grew up in Alaska.

"He's a good guy," she revealed. "He's a family guy. He's a Christian. We have all the same religious beliefs and our families both come first in our lives, and we just have a lot in common...He loves Tripp and he's just awesome to be around."

Palin also said that her mother and father approve of her beau, but she plans on taking things slow.

"I don't want another relationship that's out in the public eye like mine and Levi's was," she said. "So, it's definitely going to go slow. I'm not in a rush to get married or anything like that. We're only 20 and we're just having a good time right now."

The "Dancing with the Stars" alumna also told Rancic that she wants to go back to school and "hopefully" write a book someday. But Palin becoming an author might happen sooner rather than later - posted a preorder listing for a 304-page book called "Untitled Bristol Palin Memoir," set for a June 21 release. The listing has since been removed.

You can watch a preview of Palin's E! interview here. The first part of the two-part interview interview airs Tuesday at 7 p.m. and 11:30 p.m.