September 21, 2011 09:00 AM

Michael Buckner/WireImage

Like father, like sons.

Gavin Rossdale‘s boys Kingston, 5, and Zuma, 3, were never far from his mind as he was making new music with his reunited band Bush.

First, Rossdale recorded the album at his own Kingston Sound Studios. Then the band released The Sea of Memories on an imprint Rossdale, 45, named Zuma Rock Records.

“I wasn’t really sure about it, and I asked around my house, ‘Is that weird?'” the frontman — who celebrated nine years of marriage to Gwen Stefani on Sept. 14 — tells PEOPLE.

“And it was like, ‘No, that’s cool, do it.’ I couldn’t do anything involving them without making a joint decision. I’ve learned some things and that’s one of them!”

The boys are already following in Dad’s musical footsteps.

“[Kingston] still likes the drums, but he’s into everything now. He’s always busy doing things. We’re just trying to give them lots of opportunities,” says Rossdale, who’s touring the U.S. with Bush this fall. “Whereas the younger one, he’s got more focus than [Gwen] and I expected.”

“[Zuma] is really into the guitar. If I’m playing he’ll come and jam with me — he’ll sit with me, it’s really fun. He moves his hands up and down. His positioning and charisma are amazing. He’s so relaxed, looks great and he’s 3!” says Rossdale.

Meanwhile, the rocker couldn’t be happier to have Bush back together.

“Even at the height of everything going really well and the great reaction to [my] solo record, there was always, ‘When’s the band getting back together?’ It was this ricochet around my head. For me, it felt like the right place to be because it feels complete. When I wasn’t in Bush, it was just odd and weird being under my name.”

Rossdale and Stefani, 41, famously started dating while their bands were on tour together in the ’90s. So will they ever hit the road again now that Bush has reunited and No Doubt is prepping its first studio album in 10 years?

“Same state, different venues,” Rossdale says with a laugh. “I mean, it would be a great idea, but no. We keep it separate.”

— Marisa Laudadio

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