Harvey mentioned latex gloves. I've used them for years when I work on my cars, and I work on them quite a bit. I did pads/rotors/fluid flush on my daily driver just this past Sunday and went through a bunch of gloves.
After the first couple of times you won't even realize you have them on, until you take them off and see what you've saved in cleanup hassle. My wife gets them by the box at Wally World.
I was introduced to them by a very serious home mechanic, who has the best home shop I've seen - lift, full air system, welders, metal fab equipment, etc. I says to myself "self, the gloves sure don't make him no girly-man, maybe I'll give 'em a try".
BTW, not the reason I use gloves, but used motor oil has been identified as a known carcinogen. I've even stopped drinking it over ice with a twist of lime.