Question: How old is he and is he neutered? Intact males can be more nippy especially if they are younger. While getting him neutered might not totally fix the problem, it can help with the cause.
He does need to learn that biting won't get him what he wants. That would be your attention or getting down or even getting a treat or something.
Once you have figured out what he wants, don't give it to him when he bites or nips. If he wants attention, ignore him. If he wants down, you need to hold him and keep him with you until he calms down. If he is doing it for a treat, don't give the treat.
Having him on a pillow is good so he can dig, but not get you. This makes it easier for you to keep him there and work with him without getting injured. Long sleeves are also good to avoid scratches.
Telling him No in a firm voice (not yelling, but not soft either), will help him to know that no means no. He does need to know that you are in control and won't tolerate that behaviour. Rabbits do need direction and discipline sometime too or they can become little terrors. It does not have to be harsh, but it has to be enough or something they don't want for them to understand that they did something that is not good.
It is also important to look at what you are doing. Rabbits do communicate with body language and learning to read that is as important as them learning to read us and learn people language. He could be giving warning that say he is uncomfortable and if you get closer you may get bitten. Warnings are good as they are telling you something. If you stop the warning, they can just bite.
I have a rabbit who is a bit nippy when I hold him. He is just over a year old and intact as well as not liking to be held much. I hold him so he is facing away from me while still supporting him. This keeps him being able to nip me and does help when he struggles.
