Or a well chosen brand of non-disposable gloves that survive disinfection with it well. Nitrile and butyl don't and are good for incidental contact only, they will swell; latex, vinyl, thick PET and norprene do work for more extended time. You have to be thorough in rubbing so mechanical resistance to that could be important too, making norprene the material of choice closely followed by PET.

(The latter three depend on the brand, some might start to slowly dissolve or harden after many applications due to plasticizer leaching. Always check with manufacturer.)