Snakes bite and the bigger the snake, the greater the potential for a damaging bite.
Actually, there are snakes like thread snakes and worm snakes that don't bite unless you are an ant egg or a worm.
And there are snakes that really don't want to bite or don't bite as part of their defensive behavior, like sumbeam snakes or mudsnakes.
But most snake that are kept in captivity will bite. Some snakes bite only in certain circumstances (like a misdirected feeding strike,) and some bite anything that moves.
So part of being a keeper of snakes is the potential of being bitten by a snake. Get used to it, embrace it. Or--be careful, treat your snakes as if they are venomous, always use a snake hook to handle them.
Most bites from harmless snakes (nonvenomous) are harmless. Snakes have small thin teeth, lightly boned jaws, and not-particularly strong jaw muscles. Different from kittens or hamsters, when snakes bite, they don't bite hard.
They do puncture you with their several dozen teeth that are just long enough to penetrate to your sensory nerves and get your attention. It hurts! It's not excruciating, and usually there no real damage being done beyond a few small holes that might bleed a few drops.
I've been bitten thousands of times, and with few exceptions (some notable) I find that if I wipe off the few drops of blood with a damp Kleenex, I can't really see the bite. There's no bruise and there's no infection afterwards.
They bite, it hurts, they let go, it doesn't hurt.
The teeth of most snakes are recurved, and there's the problem. When a snake bites you, if you pull away, the snake CAN'T let go. Pulling away makes the recurved teeth dig in deeper--it can make a little nip into a big bite.
When a snake bites you, you cannot pull your bitten part out of his mouth without increasing the damage from the bite many times what it would have been if you had just paused long enough for the snake to let go.
Offensive bites (i.e. feeding strikes) potentially are more damaging than defensive bites. Defensive bites are not intended to latch on, while just the oposite is true for a feeding bite. Sometimes a feeding strike is followed with coiling and constricting. It's hard to do, but the best course of action to take is to just let the snake do what he's going to do until he releases his bite on his own. The exception would be if the snake is a 250 pound retic that is intending to swallow you after he kills you.
So always be extra careful around your snakes when they have reason to believe they are being fed. That's when most tame pet snakes bite their keepers--it's an accident and invariably it's the keeper's fault, either by carelessness or by lack of experience. And do not feed yourself to giant pythons.
The answer to your question about the damage you might incur on your hands from a bite from one of your snakes is a qualified "probably no serious damage will occur." At least, no serious physical damage will occur. Sometimes damage to your psyche can occur--you never trust a snake again. Sometimes damage to your ego can occur if you get bitten in front of people and you scream, dance, wet yourself, and kill your snake trying to get it off.
And if your eight-foot snake bites you and you drag your hand out of his mouth (makes me wince to think about it) there is a slight possibility that you could damage tendons or dig a long tooth into a joint.
So, I hate to lose a keeper to rock & roll, but it's happened before. I guess I'd hate for rock & roll to lose a future star due to an accident with a snake even more. You have decisions to make. Be careful!
All of you out there, be careful. Snakes bite. Usually, but not always, it's just a very minor annoyance.