It might have already been said, but after letting him settle a bit in his 'new space', go into the room at other times besides when trying to feed him/change his water/scoop the litter. He needs to see that you will be around him at other times when you are not necessarily 'invading his space'. That will help him adapt and know to expect to see you around a lot. I think you did something similar when was in your garage, yes? Talking to him or reading a book softly out loud, etc.
Was there anything you did before to mute the dogs barking? Could he hear them when he was in your garage or other locations? Do you think he could accept some 'background' noise, like cat music - something to help reduce what he can hear of the dogs?
Saying something softly when you open the door to his room, just so he knows you are coming in can help too. And, leave a little bit of light on at night, just - well, just because.
Was there anything you did before to mute the dogs barking? Could he hear them when he was in your garage or other locations? Do you think he could accept some 'background' noise, like cat music - something to help reduce what he can hear of the dogs?
Saying something softly when you open the door to his room, just so he knows you are coming in can help too. And, leave a little bit of light on at night, just - well, just because.