Publicly, they still deny they’re dating, but privately, New Moon co-stars Robert Pattinson and Kristen Stewart are looking for a place to live. “They’re not ready for a huge commitment, but right now the best thing to do seems to find a home with a lot of privacy and security where they can find out how compatible they really are,” reports a pal, who adds that London-born Robert, 23, and LA-native Kristen, 19, have been staying in hotels when they want to be together. But lately, they’ve quietly been searching for a home in LA neighborhoods like Beachwood Canyon and the Hollywood Hills — rentals only for now. “They’re young and live these crazy lives at the moment. Even if you are head over heels in love with each other, you never really know if one of you has habits that will drive the other crazy,” the friend points out. “They want to give it their best shot, and that’s a big deal.” So far, they seem to be perfect candidates for co-habitation. “I am essentially a nomad,” Robert has said. And neither seems very comfortable with the way their roles in the hit Twilight movies have thrust them into worldwide superstardom. “They’re both entertainers and understand this bubble they’re both living in more than anyone else right now,” the friend says. “They have a lot in common.”