That sounds like a huge amount of stuff to me! I took one small carry-on case:
washbag
two cheap cotton nighties
5 pairs pants
matrnity pads
phone charger
book pen
for baby:
5 vests 0-3
2 sleepsuits 0-3
nappies
wipes
Hospital provided X-amount of nappies and maternity pads, once they'd run out you had to use your own. It was very hot there so ds didn't need anything warm to wear, we kept warmer clothes in the car for going home (December born).
I wasn't allowed and food or drink, other than water, in case of emcs. I was fed copiously once I'd woken up after ds's birth (gammon with roast new potatoes, veg puree soup, bread roll, yoghurt).
We had a ton of storage space. Local hospital, not private. I would sugest though that anyone who brings you a massive gift, thank them and ask them to take it home with them and drop it off at a later time, we had 3 bags of stuff - very gratefully received, but needed 2 trips to the illegally parked car and I could barely walk 
Another hint is to leave out extra stuff - jammies, baby clothes, nappies etc - on your dining table, so if anyone nees to go to your house and pick them up, you aren't trying to remember and describe what drawer they are in!