Oh...OW. Been there, done that...done worse too.
I did exactly the same thing, and now I put on vinyl gloves for the chore. If it's only a few, I use a ziplock baggie filled with crushed ice and sealed. The ice stops the cooking, and is abrasive enough to take off the charred skins.
Worse? I'd been sanitizing a frozen yogurt machine with a bleach solution, and used a squirt of dish-washing liquid to cut the vegetable oil sealant on the O-rings (like veggie Vaseline)...instant PAIN. OMG. The burning was incredible. My fingers were as swollen as sausages, the skin blistered and peeled, and nothing cooled it down. I had to wear gloves for a week!