Vanessa Minnillo says Nick Lachey's support make him a great boyfriend.

Nick Lachey supports Vanessa Minnillo

"He's very supportive," Minnillo told PEOPLE.

"He's here to support me."

Minnillo says that she and Nick, who in April moved in together in New York, work out together with a trainer to keep fit and healthy. "I do a lot of reps," she says. "I don't want to bulk up."

Minnillo also says she's always wanted to date a guy who would cook for her. Asked if Lachey fit that criteria, she laughed: "No, I cook. We both eat – but he cleans up."