I agree, no bathing, and no vigorous exercise for 2 weeks. Max wanted to go, go, go right after he was neutered, but he quickly found out that stretching and jumping hurt. He had a little bruising near his incision as a result and I took him back immediately to the vet just to check that everything was okay.
Instead of our usual walks, I carried him in his donut bed the entire distance of our daily trek. People laughed at me, but Max enjoyed getting outside and maintaining his routine.
After about a week, I let him walk a little and then carried him the rest of the way.
It took the full two weeks before he could comfortably resume his wild puppy antics.
ETA: I don't think they need to be lying down, completely still for that length of time.