Some will nip the nails on opposite sides of the body. Even if you nip them they are still sharp. If you cut them too short the squirrel will fall and risk injury.
For my hands I use fingerless gloves.
https://www.ebay.com/itm/Women-Warme...5Pwi5s6GaWKnYw
I'm not sure the age of your baby but frankly I would not allow him/her out of the bin or cage at work. If you can't wear long pants I'm afraid scratches are part of being a squirrel parent. I have much more problem with my hands than my legs. I don't let them on the floor to climb my legs. I don't want to risk stepping on them.