updated 08/06/2012 AT 6:00 PM ET
•originally published 08/08/2012 AT 8:00 AM ET
As their daughter Suri, 6, spends time with each of them separately, the exes have worked out a “civilized routine,” a source tells PEOPLE in the magazine’s new issue, on newsstands Friday.
Cruise, 50, and Holmes, 33, “are talking,” the source says. “They are both going to do what’s best for Suri.”
So far, that has included working out a smooth way to manage transitions for their little girl, who has spent her summer exploring New York City with her mom, who has primary custody, and taking trips to the Hamptons and Disney World with her dad.