I have had all sorts of hamsters, dwarf hamsters, teddy bear hamsters, syrian hamster.... but not one of them has ever bitten. They were all friendly and a great pet to have. I've had over 10 hamsters and only 2 of them I couldn't pick up (females) because they would jump out of your hands and leap

and it was just too unsafe incase they fell on the floor or something.
I don't really know what to suggest as all my hamsters have been fine from day one... obviously some were a bit nervous at first but they wouldn't bite.
All I did was keep offering them food from my fingers and let them smell me to get used to my hand going in the cage and my scent, and to also know I am not a threat and I am feeding them.
I have heard of people saying that their dwarf hamsters tend to bite, so maybe I've just been lucky.
At a last resort maybe try some thick gloves? lol... but maybe not if it will scare them.