The hospital I delivered DS at three years ago had a nursery, and I could send DS whenever needed. The first night in the hospital, with DS only a few hours old, the nurse told me goodnight and casually threw out, "and if the baby turns blue, call us right away in case of respiratory problems." WHAT?! I was terrified to close my eyes because then I couldn't see if he was blue! I lay awake for hours, too scared to sleep, until DH had enough and called the nurse. She took DS to the nursery for a few hours so I could actually sleep, knowing someone else was watching him. The second night, the nurse offered to take him for the whole night and give him formula so I could get a good few hours sleep, but I asked that he be brought back when he woke up to feed. He woke every three hours, so they would bring him back in, and I would call them back when he was done eating. It was wonderful, and I went home the next day feeling pretty good.
I'm delivering at the same hospital in a few weeks with baby number two, and I'm hoping for a similar experience. If I was strongly discouraged from using the nursery, I think I'd be desperate to go home instead. At least there, I have some family that can watch him for a few hours without complaint so I can rest!