Hi Matt and welcome to the forum. Poor you, it's not fun being bitten.
I found Souffle's article very handy when my first hamster started biting. I get 3 of my 5 out of their cages via their balls and then let them walk out of the ball onto my lap. Sometimes they don't get in the ball and if that is the case I leave them until later and try again but sometimes they just don't want to come out.
Good luck