It looks like LeAnn Rimes and Eddie Cibrian are taking the next step in their relationship – they are moving in together.

Eddie Cibrian is moving into Rimes’ home since his lease was up.

“It’s somewhere the kids know and it allows Mason to stay in the same school district, which was important to them, that there’s continuity for him,” the source says. “They take [moving in with the kids] with a lot of responsibility. They want to make sure that it was done in the right way.”

Rimes’s rep confirms the news, telling PEOPLE, “they’re excited for this happy new journey.”

Rimes is said to have Cibrian’s two sons, Mason and Jake, decorate two of her former guest bedrooms so they can feel at home.

With Rimes’s divorce from ex-husband Dean Sheremet finalized in June, and Cibrian’s divorce pending, could an engagement be on the horizon?