I wear latex gloves when cleaning.
I can't stand having the oil, cleaner, gun powder residue on my hands after I'm finished. With the gloves, I just take them off when finished and my hands are clean.
You ever have cleaner/oil residue on your hands when you take out you contacts at night? Not a pleasant experience.
Go buy a box of gloves from the pharmacy at Target. It'll cost you about $7.00.