The blue "Nitrile" gloves do not bother those allergic to Latex
+1, Tom. I use the Nitrile gloves when cleaning my guns to avoid transdermal absorption of the various solvents and ethers in the cleaning products. Nitrile tends to be pretty resistant to the majority of petro-chemicals, so cleaning products won't soften them up as can happen with latex. Another plus to Nitrile is that it's relatively tougher than latex. You can penetrate the material with a pointy object, but it has to be a concerted effort.
You can get them at any auto parts store and Harbor Freight frequently has them available at a favorable price point.
I change my own oil, and wear a pair for that and other "dirty" jobs on the car and truck.
Submitted in the spirit of support by Crusader