I wear glasses too because of nearsightedness. It took me several tries at different eye doctors to find lenses that did not make me sick, but my negative experiences were not only with video displays. I had problems driving and reading, too. Of course I could read the letter charts in the doctors' offices and in the driving license office. (edit: i was experimenting with contact lenses at this time too)
Once I got the right lenses in front of my eyes, all was fine until I moved away from a CRT display, which I had no problems with at 100% brightness. My IPS display with CCFL backlight brought the pain back, until I set the brightness to 15%. But I still experience eye fatigue after several hours.
I have my display elevated so it's really at eye level, and it's about 1 meter away from my eyes so that looking at other clutter on my desk isn't a drastic change in focal distance.
I have two soft halogen lamps over my desk for lighting. It would be better if they were behind me. The lighting fixture has a switch to change the electrical configuration from series to parallel. In parallel the lamps are brighter and this produces a bit of glare so I only use them this way when I am working on something mechanical on my desk.