I somehow got ahold of a pair of thick gloves that looks like something a mad scientist would use, and since I hate not taking advantage of a perfectly good tool, I use them from time to time. These stepped up from second skin to a notch below armor. They're what I use for scrubbing something that's moved from nasty to NAAAAAAASTY (we have pets). They're also thick to the point of being clumsy, and for the most part are overkill.
Most things can be tackled with a basic glove. I go through many standard (cheap) rubber gloves when washing dishes or wiping down counters, frequently wearing through the fingertips, and since I've never heard of a soap-borne pathogen I don't stress about that. If I were cleaning something iffier or using a harsher cleaner I'd invest in a good cleaning glove that was at least several mils thick. Some are flocked and lined for durability and comfort. Neoprene-coated gloves are stronger yet.
Sometimes you don’t need the protection of a heavy duty glove. In this case, a disposable glove might work best for you. These come in latex or latex-free vinyl, or a nitrile option. The last two are perfect for people with latex allergies, or if you're just cleaning something particularly sloppy like a wet, leaf-clogged gutter and want to get rid of them after one job.
We Fight Dirty!™ . . . and we protect your fists so you can fight dirty, longer.