I personally don't like to pick up the new cat in order to move him to a new room to socialize him. I like to let them come out on their own. They will get to know the first room that they live in and it will become their safe haven, a place to run to if things get scarey. If you pick up the cat and carry him to another room, they may not know how to get back to their safe haven and that is traumatic for them. It took a couple of weeks for Calvin to venture out of his safe room and it took Willow even longer. And it was agony trying to wait them out (you know how impatient you can get). But they are finally at ease and that is what really matters.