Last time I wore a hospital gown with a bra underneath. I don't remember when I took the gown off, but I stripped the bra right after the baby was out so I could put her directly on my skin/chest. I am super modest but I wasn't at that point - I didn't care at all. I wore home whatever I wore there, just some comfortable outfit.
This time I will probably do about the same thing, or just be naked the whole time. Maybe have a bra on so pictures aren't too obscene for the great grandparents.
I don't think I'll pack clothes for me to wear home - that would mean those clothes would have to be out of my wardrobe and I don't have so many clothes I'm wearing right now to have that luxury! In fact, I need to do laundry about every 2 days right now since I only have 3 pairs of pants and maybe 4 shirts I'm wearing in public. So again I'll just wear home whatever I wear there.