Ouch! Ouch! Recommend some cactus-proof gloves!
I bought a pair of gloves to plant some cacti, and had to throw them out because they got Opuntia spines in them. Even with tape and washing them, couldn't use them again and ended up throwing them out, along with the Opuntia which had a couldn't-get-rid-of infestation of mealy bugs.
Now I am in the market for another pair of gloves. I no longer have anything fine-spined, I am just trying to protect myself from a rather large and spiny euphorbia, a 9 inch golden barrel, etc while I repot them.