I would bring a fully stocked diaper bag (see list below)
Diaper bag (for in-town trip, no need to overpack):
5 diapers
3 disposable changing pads (the same kind the pediatrician office uses - they are actually adult diapers but they are great, especially on these yucky public changing table - you can just throw it out instead of having to put it back in your bag)
1 change of clothes (onesie and socks in the right size - remember to keep up)
1 swaddling blanket (many uses); one non-disposable diaper as burp clothes
1 well -stuffed travel wipe container (a poopy diaper can be a "10-wiper", so keep that in mind)
1 meal (I used the 2 oz Enfamil nursettes - they make nipples for them- take 2 nipples)
1 clean binkie (if you use them, we didn't)
1 roll of diaper bags to dispose or carry when there are no other options (they are like dog poopie bags)
2 empty ziplock bag
You do not need imo medications of any kind (unless you know your baby needs it at the time). In the continental US, most people are never too far from a pharmacy! or bibs at first (you can use a wipe)
+ a blanket (stroller type) for the baby (it is cold in the hospital at night - you can put it safely on the lower half of the body on a swaddled baby). Newborns often have trouble regulating temperatures on the cold side.
+ 2 onesies + 2 pairs of socks + 1 beanie: this is only for the way home (except the socks maybe). Hospital provides tee shirts and beanies usually.... trust me, you will have plenty of occasions to do laundry later. Also, the baby is examined often by the docs, so even a onesie can be in the way
+ Baby nail files: absolutely essential. Babies are born with longer nails and I was too chicken to cut them but the files work great. I didn't like the idea of mitten (one more thing to wash or lose), and we never needed them.
Other: hospital will provide formula if you don't breast feed, including enough of these great nursettes for the way back and beyond.
Hope this heps!