After DS was born we stayed on the bed and cuddled for a while. He wasn't interested in nursing but just staring at me and DH. During that time I birthed the placenta, then the mws did a basic exam (bp, hr, temp, peri on me and hr, temp on DS). After an hour or so I got up and took a shower. I'd been in labor about 24 hrs and just felt grimy. The birth assistant kept checking on me, which was kind of funny. I actually felt great! While I was in the shower they gave DS his vit K shot, changed the bed, and did general cleanup. After the shower, I got my tear stitched up and they did the newborn exam. Then DS finally latched on real good. When he was done I had some quiche and a glass of orange juice, then we all went to sleep (it was about 2am by then).
One thing the MW recommended was for the first few days not wear any underwear as much as possible to allow lots of air circulation to help things heal. So I didn't even get dressed for a day after the birth.

I just kept a chux pad underneath me in bed to avoid bleeding on everything. I slept that way for about a week and wore pads soaked in witch hazel and frozen for a couple of days during the day. Everything ended up healing very quickly.
Maybe TMI, but one other thing that my bradley instructor suggested is to take a stool softener immediately after the birth so that the first bm isn't painful.