question for moms that cosleep!

I'm sharing a room with my baby so I don't have much space, I didn't get a crib for baby because I plan on cosleeping but now I think I'll end up getting at least a bassinet or a cosleeper next to my bed just in case. I'm starting to get nervous. When you cosleep with your baby, do you really sleep without blankets or pillows? Or just keep them away from the baby?