He might be a bit nippy because he’s not neutered yet and is prob starting to hit puberty. Male bunnies will nip a little when they are thinking about mounting. You can try making a little squeak kind of noise, it doesn’t have to be a loud scream. For now don’t try to touch him, just let him explore and sniff you. If he nips too much, make the squeak noise and redirect him to something else.

If he isn’t molting or an angora, you don’t need to worry about grooming that much. But if you do need to groom and he won’t let you, I have found it’s best to just pick the bun up and put them on a table on a towel, and do a deeper grooming. Give them a treat afterward, and usually all if forgive pretty quickly.

If he’s not molting, then you can start trying to get them used to the brush. Usually a soft bristle brush is well tolerated. It doesn’t work that well, but can get them used to being brushed. You can feed some pellets and brush a few strokes while he’s eating if he’s very food motivated.

Having him on your lap probably didn’t help. Being on your lap means your likely close to the ground, so it is very hard to get a rabbit to stay put if escape is so close. Some owners will groom their rabbits on a table or something so the rabbit is less likely to bolt away.

I agree that tables are the best (or some other high surface). Don’t worry about trying again for a couple days.

It helps to put a hand over their eyes when they are on the table to settle them down.

It’s true the don’t like being on the table, but that’s what keeps them from trying to run away or jump down.

Foot nipping is often a hormonal thing, as males will nip lightly when they are thinking about mounting.