My nephew used to wear his welding gloves and get them real riled up

something like this maybe?

I think I’ve seen videos of vets wearing oven mitts lol

How feisty? You can search Amazon for “cat handling gloves” and find something that’s probably fine for a cat that just gets a little carried away while playing. A lot of them are basically just welding gloves. Some are modified with a little extra material in common bite zones. We have a long haired cat that absolutely hates being groomed. When handled too much she will dig in her claws and bite hard enough to cause permanent scarring (I know from experience). Unfortunately she needs regular grooming or she develops terrible matting. So I invested in a set of these: armorhandglove.com

They weren’t cheap, but with those, she can bite as hard as she wants and I barely feel it.

I just put heavy socks on my hands haha

I’d be worried that using something like that would just encourage the extra spicy behavior, with the cat thinking it’s acceptable.

In a pinch, these might work

Don’t encourage that behavior in your cat. Hands aren’t toys. Get cat toys for you and your cat to play with together.

I don’t know specific products, but ANSI does puncture resistance certification. You could use those ratings to find something comfortable that isn’t snake oil

Accept the scritches or don’t get stitches. You shouldn’t be encouraging playing with hands. Also keep the claws trimmed.

Noooooo! Never encourage cats to see hands as toys! I've been watching "My Cat From Hell" recently, and so many "vicious" cats have a guardian who thinks roughhousing their cat is a good idea, but can't understand why their cat attacks everyone else. Once they get into a routine of using appropriate toys to play with the cat, suddenly the cat stops attacking everyone else.

You need Kitten Mittens

Get those grooming gloves:

harborfreight.com/…/welding-gloves-39664.html