I just has my rabbit neutered and they suggest not picking him up for about 4-5 days, depending on his progress.
When you get him home he will be drowsy and will most likely enjoy sleeping and relaxing in his cage.
My vet gave me 5 days work of pain meds. Although these are great, it also makes the bunny feel "To good" and want to run around so after the 3rd day of meds, I took him off it.
Make sure there is nothing in his cage that could cause infection.
Before my bunny came home, I took out all the hay from him cage and sanitized the cage using vinegar to get rid of any harmful bacteria. Make sure to still supply him with hay (It keeps them eating and drinking) but keep it in a area where he can't lay on it (like a hay feeder) I put a blanked down so he had somewhere soft to lay. If your rabbit drinks from a hanging bottle, try giving him a bowl or water as well. it is extremely important that they keep drinking and some rabbits will find drinking from a bottle is to much work. By giving them a bowl, it is a lot easier to drink from and they are more likely to stay hydrated.
I got rid of anything that would make him stretch his stitches or cause tearing. (Like a shelf or tunnel).
Monitor your rabbit to see if they are biting their stitches. If they are, you may need to get them a cone.
I hope this helps.
My rabbit was just neutered 3 weeks ago and he was back to his usual self by 3-4 days or resting in his cage.
After 3 days, I would let him out in a small space to get some energy out.