We put the cot in the new room for the first couple of nights - is that something you can do?

Also, I gave DD#1 about 4 weeks to be able to go to sleep on her own in the new room/bed. The first week I sat next to her bed holding her hand till she fell asleep (holding or bfing DD#2 if I had to) the second week I stopped holding her hand, the third week I sat on a chair near the door and then gradually moved out before she was asleep.

All the best!