“Everything I do as a parent is what I swore I would never do,” she tells PEOPLE in this week’s cover story. “I’m way more serious and I’m bad cop. I never thought I’d be bad cop. My husband promised me I wouldn’t be bad cop, and he has failed me in that way. He’s fun guy, Mr. Fun! And then I come in with the rules.”
Yet it’s a balancing act that has worked for the couple, especially when it comes to parenting. “We’re good partners,” says the singer, 38, who married Hart, 42, in 2006.
“He’s a fantastic dad and it helps when I’m serious and he comes in and lightens things,” Pink explains. “It helps me be light because I can get way too worrisome and everything has to be perfect. And those kids love him. He’s so good with them.”
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Despite their different personalities, the two share the same beliefs when it comes to raising both of their children. “Carey is meat and potatoes,” Pink says. “He’s a caveman. ‘Raw! Dirt bikes, trucks!’ But he’s also very respectful and fair, and aware, and in touch with himself, and the parts of me that need to be seen and talked about.”
RELATED VIDEO: Beautiful Issue Cover Star Pink Gets Candid About Her Marriage & How She Takes on the Haters
With his daughter, Hart is “very gentle … but he wants her to be tough,” she adds. “And I want Jameson to be allowed to be sensitive. So I think between the two of us, we’ll try not to create two monsters.”
Watch the full episode of People Cover Story: Pink – How I’m Raising Strong Kids, streaming now on PeopleTV.com, or download the PeopleTV app on your favorite device.
RELATED VIDEO: Pink’s Advice for Raising Strong Kids: “I’m a Truth-Teller”
Currently on her Beautiful Trauma tour, Pink has most enjoyed watching her kids interact more and grow to love one another … slowly but surely.
“They’ve sort of found their rhythm with each other,” she says. “It took Willow a while to warm up to [Jameson]. I think she thought that babies come out fun and laughing. And babies don’t do anything except take Mama away. So it took her a while.”
For more from our Beautiful Issue, pick up the magazine when it hits newsstands on Friday and check out all of our coverage on PEOPLE.com.
Initially, “there were a lot of tears,” the singer adds. “That was probably the most heartbreaking part of the whole thing for me, but we got through it.”
And now? “She’s really sweet with him,” Pink says. “She always told me that she loved me the most and now, recently, she’s said that she loves Jameson the most unless he’s crying. Then she loves me again. So Carey’s the bottom of the totem pole. See? That’s what good cop gets ya!”