I wear nitrile gloves at work all the time due to the potential for chemical contact. The reasoning is that you never know who last touched the surface you are about to touch and what they had on their gloves/hands. It's just habit by now, so I naturally wear gloves when handling the sewer hoses and storage bucket. Nitrile for me unless I need something heavy duty, then trionic.
There's a technique for taking them off. Turn them inside out as you do and you'll have a non-contaminated surface by which to handle them for disposal.
