I also have 2 wrist tattoos, and got them before the 'fad'.... I guess I didn't know there was a fad. Haha. Anyways, I say go for it. I have tiny nautical stars... Anyways, I work in a business field and those are my only 'visible' tattoos.. I have had them for several years and changed jobs in my company a few times, going on a lot of interviews, and I've never had a problem. One of my very good friends works in a corporate field and has for several years. She recently got tattoos on the sides of her wrists.. She hasn't had any problems either.
And for what its worth, alllll of the emt/medics I know have visible tattoos that they don't cover for work.
GL on your decision!!