Hospital and baby

When you have your baby in the hospital do you keep it in your room even at night? I’m having a csection and my husband insists that we have our baby stay in the nursery at night bc I’m going to need to rest and we should make them take care of him at night if we’re paying for it. I just don’t know how I feel about this. I’m nursing and I really think he needs to stay in our room. With my last child he didn’t stay in our room bc he was in Nicu. What would you do?