Oh, yeah, he has his own room. We still don't trust him to have full reign of the house unsupervised (we do not have a cat/child friendly home at all) so he gets to stay in the guest bedroom/bathroom while we're at work. He has lots of toys and food and a litter box in there and he's usually sleeping when I get home so I don't feel bad about keeping him in there. When he's older he'll get more house privileges.
He and the dogs get along super well, for the most part. He's like the cool high school senior who is just too important to hang out with measly freshmen. The dogs chase him all the time and he loves it (probably). If he's somewhere the dogs can't reach him (under a sofa, on a bookcase, on the ping pong table) they just sit and stare at him without moving. Like, you know the dog Doug from "Up" and how he randomly says "POINT!" and then sits still as a statue? That's the dogs when they're waiting for Patton to emerge from his hiding place.
He also likes to [lovingly] swat at their faces when he wants to play.
And when they're all exhausted, they basically cuddle together.
Sometimes when I'm petting him in the evening he just passes out and my voice gets all squeaky while I'm like "LOOK AT HOW CUTE HE IS OH MY GAWSH!"