Eddie Cibrian and LeAnn Rimes
Paul A. Hebert/Getty
05/30/2013 at 07:00 AM EDT
and her husband Eddie Cibrian are headed back to the small screen – and ready to face their critics head on.
"We're doing a TV show based on our reality," Rimes, 30, tells PEOPLE. "We'll take things out of our lives and elaborate them and make them funny. People have been laughing at us – we want them to laugh with us!"
The couple, married since 2011
, met on the set of Lifetime's Northern Lights
in 2008, and gained public notoriety when they fell for each other and ended their respective marriages
the following year.
"For some reason, everyone is so interested in our lives but they don't actually know about them," Rimes says. "What they read is what they see. We want to be able to take control of our lives again so we want to do a show about us, about our lives, but scripted."
The show has yet to secure a title or network, but the singer, whose new album, Spitfire
, will be out June 4, is looking forward to working with her hubby again.
"That's why we explored the idea of doing the show, to be able to be together."
And what about the rumors that Rimes is joining the cast
of next season's Real Housewives of Beverly Hills
, currently starring Cibrian's ex, Brandi Glanville?
"That would never cross my mind," she says with a laugh. "Never in a million years!"