Baby's hospital bag....

L
What are you all packing for baby for the hospital? 
First time mom here so let me know if I'm way off on any of this, and also if I'm missing anything! 
- 3-4 newborn size outfits (1 special for coming home) 
- a couple pairs of socks 
-2-3 small baby blankets
- 2-4 pacifiers 
- a few diapers
- a small pack of wipes
- a warm zip up body suit (winter here) 
- 3 hats 
Do I need my pump? Nipple cream and pads? Will the hospital provide this stuff? Assuming not. Anything I'm missing?? 
Should I pack 0-3 months clothing in case he's big? 
I know the hospital provides some pacifiers, clothing, diapers, and wipes, so I won't bring many of those.