Tattoos in the work place

I’ve been working out and feeling better about myself and I have really been wanting a half sleeve on my upper arm. The only downfall about me even doing it is because I’m going to school to be a social worker. I know I want to work in a hospital/clinic setting and I know that tattoos might be looked down upon in the work place especially maybe in a hospital. It wouldn’t be anything crazy just flowers and maybe some cool patterns/designs. I’m 19 and I’m serious about getting it done. Has anyone else with tattoos have trouble with this?