Katharine McPhee Says Husband David Foster 'Wants to Hold' Their Son Rennie 'All the Time'

Matt Baron/Shutterstock David Foster and Katharine McPhee

Katharine McPhee is adjusting to motherhood like a pro, and she has great help in the form of seasoned dad David Foster.

The American Idol alumna, 37, raves about life with newborn son Rennie David, born Feb. 22, on the latest episode of the PEOPLE Every Day podcast with host Janine Rubenstein.

"It's a growing family, and David's doing great," McPhee says. "He's always walking into a room saying, 'Where's my baby? Where's our baby? He wants to hold the baby all the time, and be around the baby."

RELATED: Katharine McPhee Dances with Son Rennie as She Sings On TV, Jokes It's His 'Only Screen Time'

Rennie is the first child for McPhee (who can currently be seen on Netflix's Country Comfort), and the sixth for Foster, 71, who has five daughters from previous relationships.

"Katharine McPhee and David Foster have welcomed a healthy baby boy," their rep told PEOPLE when Rennie arrived. "Mom, Dad and son are all doing wonderfully."

McPhee is looking forward to celebrating her first Mother's Day with a change of scenery. "We're actually going out of town with some friends, so on a little vacation [with] the baby," she says.

Listen to more of our interview with Katharine McPhee below on our daily podcast PEOPLE Every Day!

She's recently been promoting her new Netflix family sitcom Country Comfort, the first season of which is now available on the streaming platform. McPhee plays a struggling country singer who takes a job as a nanny to a cowboy (Eddie Cibrian) and his five children.

Katharine McPhee/Instagram

"It's been great to play something so silly and different than I'd ever done before," says McPhee, whose previous credits include Scorpion, Smash and The House Bunny. "I've always wanted to do a comedy!"

One bonus of the format is that it gives her more flexibility to spend time with her growing family. "I'm a new mom, so it's exciting to be home with the little baby," she says. (And judging by the photo above, Rennie's a big fan of the show too!)

RELATED VIDEO: Katharine McPhee 'Loving the Schedule' Filming Country Comfort, Lets Her Spend Time With Family

"This is the kind of dream show, when you're a new mom, and you want to just be home with your family, and you still want to have a great job, and a fun job, a fulfilling job," she says. "This has been my favorite job I think I've had. It's like a really sweet, fun family. ... You get to be funny. You get to be creative. And you're done before three o'clock, Monday through Thursday."

Check out more from Katharine's interview on PEOPLE Every Day, airing now on iHeartMedia, Apple podcasts, Spotify, Stitcher or wherever you listen to your podcasts.