Moving baby to nursery

My baby is only 5 weeks but it’s so hard for me to sleep with her right next to me in her bassinet. I want to constantly be checking her and I wake up to every noise she makes. I’m afraid to move and wake her up. I’m also afraid I won’t wake up to her crying over the baby monitor. She also spits up a lot and I’m scared she will choke or something. Did anyone move their baby and actually sleep better?