I took a tub bath the night I was discharged so 3 days. My doula had given me an herbal bath to use to help with healing. I took a shower as soon as I was able to stand and be steady after my sons births so it was the night of their births. As to driving. With my oldest I was back to driving 4 days after he was born. For my youngest I waited about 3 weeks. The only reason though was because I am driving a 12 passenger van and I was concerned about the pulling myself in and out as well as how rough of a ride it is. I really never exercised so that one doesn't apply to me.
Took a bath when I got home from the hospital. Exercising, well that would depend on which child it was. The last one I never did she was exercise enough. If I were you, I would wait and get the okay from my doctor.