I packed two going-home outfits (one NB size, one 0-3 month size), a hat, and two blankets for the car ride home.
Our hospital didn't allow moms to dress babies in outfits from home, b/c it made things harder for them, since they were in so often to check baby's vitals.
Also, I needed to pump since DS' bad latch damaged my nipples, so they supplied a hospital-grade one.