I know of some cream that eats up all that grease. Don't ask me the name because I don't know. My dad showed it to me once when I was a teenager.

Depends on what you're doing. If operating machinery like a lathe or a mill or anything that moves and where you don't want to have body parts in the mix, no, you absolutely shouldn't wear gloves. They catch much easier than naked hands and take it from me, it's no fun getting caught. 🫠

Some protective cream is better when you can't use gloves, but I personally don't find it helps all that much. YMMV.

Otherwise yes, gloves are good. Much of the oil and shit isn't good for your skin and who knows how much gets absorbed that way.