June 30, 2011 04:00 PM

INF

After years spent jet-setting around the world as a top model, Heidi Klum has exchanged her heels for a pair of sneakers — all the better to run after her four kids in.

“I love my family life now the way it is,” the Project Runway host, 38, told PEOPLE Wednesday at HAMPTONS’ Annual 4th of July Weekend Celebration. Currently based in the Big Apple while Klum films season 9 of the hit show, the model calls the move “a good change” for children Leni, Henry, Johan and Lou.

“We do everything that the city has to offer. From driving on the sight-seeing bus to the Empire State Building to the Statue of Liberty and the museums,” explains Klum. “We’re going to watch Spider-Man [on Broadway] — my son is really excited about that.”

In addition to her hosting duties — Project Runway returns July 28 — Klum is keeping up with her latest project, Heidi Klum’s Summer Run, a blog she’s doing for AOL. It chronicles the number of miles the model runs every day and invites others to do the same.

Admitting that “showing up is the hardest part” of running, Klum says her kids with husband Seal wake her up early enough to give her time to hit the road.

“You have to be a morning person when you have children,” she laughs. “[Before you can] go out late at night and sleep in a little bit, but when you have kids that get up at 5:30, 6 o’clock you go to bed earlier!”

— Jazmyn Tuberville

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