August 22, 2014 08:15 PM

Kevin Jonas is the first to admit that parenthood has thrown him for a loop.

“What surprised me the most about having a baby was how long you can go without actually getting good rest!” the musician, 26, who welcomed daughter Alena Rose in February, tells PEOPLE.

“It’s incredible that your body will allow you to sleep for two hours, and then you’re up, and then two hours, and then you’re up.”

Michael Lavine

But he and wife Danielle don’t mind Alena’s crazy schedule. “She rules it!” says Danielle, 27.

Their favorite time of day? Post-nap, around 2 p.m. “Right when she wakes up, she’s in a really good mood,” Kevin says. “She’s very active and expressive. She takes a lot after me!”

In fact, Kevin says he wouldn’t mind if Alena actually followed in his footsteps.

“If she told me she wanted to be in the music industry or the entertainment business one day, I would help her fulfill her dreams, but only if they were her dreams and not mine. I’d tell her the good and the bad, but I would never push her.”

Michael Lavine

That’s a conversation for later. For now, he and Danielle are just trying to manage their new life as parents.

Although Kevin works from their New Jersey home “on a few different startups in the tech world,” the couple — whose reality show Married to Jonas is on hiatus — doesn’t get to spend much time together.

“I try to get Dani’s attention, but I’m number two!” Kevin says. But he and Danielle hope to change that. “We’re trying to schedule one time a week, even if it’s just lunch, to talk one-on-one about how each of us are doing.”

In the meantime, he says, it’s the typical new-parent juggling act. “At any moment, we’re either trying to get something accomplished or checked off our list. But it’s worth it. We have an amazing daughter.”

Michael Lavine

For more of our interview with Kevin and Danielle Jonas, pick up the latest issue of PEOPLE, on newsstands now

— Stephanie Emma Pfeffer

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