Kim Kardashian Is Shopping for a 'Bigger' Apartment in N.Y.C., Source Says

By K.C. Blumm

06/28/2014 at 02:50 PM EDT

Kim Kardashian (right) with Kris Jenner

Josiah Kamau/BuzzFoto

Only Kim Kardashian would pair a neon-yellow construction hard hat with a skintight strapless nude Wolford dress and Tom Ford gold chain heels.

That was the newlywed's uniform du jour as she checked out real estate in N.Y.C. on Friday with her mom, Kris Jenner, and sister Kendall Jenner.

Kardashian, 33, and her husband, Kanye West, 37, are looking for a new East Coast home, a source confirms to PEOPLE.

The rapper already owns a bachelor pad in Soho, but they are looking for a larger home that has room for their daughter, North, 1. "They need a bigger space with private parking," the source says.

Kardashian checked out a $17.25 million townhouse in Greenwich Village that has six bedrooms, seven baths, a private garden and private parking inside the building, and a $12.99 million penthouse with a 1,500-sq.-ft. terrace complete with private pool, the New York Post reports.

The family, who are currently staying with Kardashian's mom in L.A. while they renovate the Bel Air mansion they bought in January 2013 for $11 million, joked in April's Vogue magazine that they would be keeping West's L.A. home to store Kardashian's giant wardrobe. "We have a 'walk in' house," West joked.

• Reporting by JENNIFER GARCIA