I Work In Front Of A Computer All Day Under

I work in front of a computer all day under florescent lighting and my eyes are constantly burning and irritated. Turning off the overhead lights seems to help but my job requires I meet with clients so I must keep the lights on. I've tried to get new glasses recently but after 4 attempts with different prescriptions and different frames I still can't wear the new glasses for more than a few hours. What type of eye doctor should I see?