We had a moses basket with fitted sheet on the bottom, a folded muslin under his head to catch sick so didnt have to change the complete bed, we rolled a small cellular blanket which we placed either side of DS as he had a habit of rolling against the side of the moses basket (I got told off in hospital for turning him on his side in the plastic cot but it wasnt me, he just kept rolling), then a sheet and a cellular blanket over the top and tucked under his arms. We always put scratch mits on him as his hands ended up cold at night although we found socks stayed on better over his hands.