When my kids were born, I never let them out of my sight the entire time we were in the hospital. Never trust another human with your baby.
When my third child was born, the nurse asked him if I wanted him in my room. I replied that I had two other small children at home and this was the last decent sleep I would get for six months.
Every two to three hours, I would wake up sensing my son needed me. Sure enough, by the time I sat down next to him he would be rousing, needing his diaper changed and milk.
One evening during his feeding, I noticed a baby beside me was in distress. He had thrown up and was choking. I pointed it out to the nurse and she ignored me.
“He’s choking on his vomit!” I stated in my most ferocious “mom” voice and stood up, ready to put my son down and pick that one up to start emergency response procedures.
That got her attention.
I moved my son to my room and that little one was transferred to the NICU.
You are correct. Keep your baby with you.