September 28, 2016 04:45 PM

Gilbert Carrasquillo/FilmMagic

Is Paris Hilton ready to start a family of her own?

The socialite-turned-business mogul, 35, tells PEOPLE about her brand new baby niece, 11-week-old Lily Grace Victoria. Hilton’s sister Nicky Hilton Rothschild and her husband James welcomed Lily in July, and Hilton says she is one proud auntie.

“I’m obsessed with her,” Hilton says. “She’s literally the most perfect baby I’ve ever seen. She has these little angel lips and this cute little nose and these big blue eyes.”

And Hilton says her niece is ready to start gabbing.

“She tries to talk, she’s just learning how to talk … but she wants to talk,” she says.

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Hilton says Nicky, 32, recently made the move to New York — just “a couple blocks up the street” from her big sister. And with Lily in close proximity, Hilton admits she has caught a case of baby fever.

“I’ve never seen Nicky so happy,” she says. “She’s got a man that’s so loyal. I don’t trust because I got hurt so much in my life that I don’t want to put myself out there to get hurt again … But I would love one day to find my soulmate and someone who I could give my life to and build a life with and a family … Hopefully one day.”

Hilton says she has been “on a plane so much” that she doesn’t have time to find her special someone quite yet.

“I feel like I’m finally an adult,” she says of her booming retail business ventures abroad. “I’ve grown so much as a person and a woman since The Simple Life.

She adds, “I’ve been through a lot, but I’ve worked really hard, and I’ve built my empire. I run my company with 17 different product lines. I’m going nonstop, constantly traveling.”

— Blake Bakkila with reporting by Gillian Telling

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