The hospital will provide all mainstream baby products - Johnson&Johnson baby wash, lotion, wipes, Huggies, etc. so fi you are looking to avoid the chemicals in those, you might bring your own. J&J baby wash is pretty harsh imo.
They also have NB size dipes, dd was 9 lbs, so she didn't fit in NB size. We had to ask them to go find size 1 from pedes for us.
As for other baby stuff, they'll probably have white undershirts (our hosp. had side snapping ones, way better than pull over head ones), socks, and hats, and blankets for you to use.
I packed baby things IN the car seat and put one of those shower cap type covers over the top of it all... packed in the seat - 2 sleepers, a blanket, 2 hats, socks, and then we stuffed what wasn't used in my bag to go home, and used car seat for baby.
Lisa, mama to Lauren, Elliot, angel Marion, and baby due in the fall.