DS was in a bassinet in our room until 10 weeks...then we did the first transition during the day and after one or two days we felt comfortable enough to leave him in his own room(in the bassinette) overnight.
After about a week we did the day transition to the cot and after the first day left him in there overrnight!!

He had no problems with this and it was a huge relief to have OUR bedroom back to ourselves IFYKWM!!!!!!!!!!!!!!!!!!!!!!!!!!