I'm using the diaper bag as her bag, we have 3 white onsies, 3 pairs of socks, a night gown, sleeper, the take home outfit and 2 crochet hats. We also have the usual diaper bag stuff, just so it's ready when we need it after we're home from the hospital.
Yes, I know the hospital provides clothes for your LO, but I want her to wear her clothes, I was the same way with DS.
Just FYI, they may not let you dress the baby in clothes you brought.
They were in my room every hour or so, taking DS' vitals and checking his umbilical cord stump. The side-snap T-shirts they dress the babies in provide easy access.
Also, there's a risk that your clothes from home may get mixed up with the hospital laundry and you'll never get them back.