This is a no brainer. You want "computer glasses".
I got mine last year following cataract surgery and they're fantastic.
See your eye doctor and if they don't know what you're talking about, see a different eye doctor
What's different/special about "computer glasses"?
1. They are optimized for a viewing distance of around 24 inches. You want to tell the Doc exactly how far you sit from the screen. Reading glasses are normally optimized for a slightly closer viewing distance (12-16 inches). This is the most important consideration. After that, you can look at some options to improve things further:
2. Premium quality lenses. These are sold as "HD lenses", "Digital Lenses" and such like. That's mainly marketing BS but they should have better quality materials and give clearer vision.
3. Various coatings especially anti-reflective.
4. Doctors are also recommending filters to cut back on the harmful "blue" light that is emitted by LED displays.
It can get costly. I went with all the options plus quality frames and the list price was $700. However, with promo deals, vision insurance and the rest my out-of-pocket was around $200. I absolutely don't regret a cent of that.
I absolutely recommend talking with a good eye Doc because there may be additional medical considerations that are specific to you. Also, these days, most Doctors are very aware of the issues and factors involving vision and computer displays.