Another thing to consider is latex, or vinyl, gloves.
Those are also cheap enough at places like Sam’s and BJ’s.
I kept latex surgical gloves around for years in my shop for when I'm working on greasy stuff, like my tractors, and in the kitchen for "less than pleasant" tasks that come up from time to time. However, last time I went to my local Sams, they didn't have latex anymore. I bought a couple of boxes of nitrile gloves and have found that they are considerably tougher than latex and they fit better than the vinyl gloves. They are about the same cost as latex.
Yes, gloves would be an excellent idea.