Re: Question about hospital stay
If the baby is staying in your room or just visiting the nursery for you to rest then you are free to dress the baby in whatever you like. In most NICU settings I am aware of they let you dress the baby in "street clothes" after they have moved to step down care. This is simply because the baby must be weighed frequently, require exams, and likely have various lines(O2, heart, pulse ox) and regular clothes interfer and make those tasks more difficult.
Just in case.