With a new TV series for him and a new album and acting roles for her, this summer will be no vacation for the newlyweds.
"We both have a lot going on," Rimes, 28, tells PEOPLE. "We've got a lot to juggle!"
This wasn't the original plan when the couple planned their wedding. Instead, they anticipated a work-free month, says Rimes.
But then, happily, NBC picked up Cibrian's pilot for the retro '60s series The Playboy Club, to debut this fall, and the start date for Rimes's CMT-movie Reel Love was pushed forward.
"We got married on a Saturday, and I left on a Tuesday to go start filming," says Rimes. "So we kind of jumped right into work."
With Rimes now on tour to promote her new music and Cibrian returning to TV, the two are "learning to roll with it" by visiting each other on weekends – and getting out of Dodge for Cibrian's birthday. (He turned 38 on June 16.)
"It's kind of cool to see both of our careers be on the upswing at the same time," says the proud wife. "We'll have years where we don't have as much to juggle, and we'll have years like this when it's kind of crazy … But things are good, and we're very, very happy."
Family Time, TooThe couple are also deeply committed to Cibrian's two sons from a previous relationship: Mason, 8, and Jake, 4.
When it comes to her new family, "I think that my priorities obviously have completely changed," Rimes says. "That's the most important thing to me."
Also filling up the country star's date book are auditions and meetings for potential acting gigs. Rimes even has a guest-starring role on this coming Sunday's season-three premiere of Lifetime's Drop Dead Diva (9 p.m. ET/PT). Ironically, Rimes will play a jilted woman on the verge of divorcing her famous actor husband.
"I definitely had a bit of a place to draw from," says Rimes, who last year went through an equally public though amicable divorce from first husband Dean Sheremet. But Rimes shrugs off any similarity to her own personal history.
"I could definitely laugh at it and draw from [my] experiences all at the same time. But it was really fun to play!"