They're not just for near-sighted computer users; anyone whose vision is less than perfect will benefit. I don't recommend just adding +1.00 to a distance prescription, though. That may get you close enough if you're young and your eyes are still able to focus at different distances.
I'm old enough that my eyes have lost most of that ability, plus I have astigmatism. So my computer prescription has to be spot on. Even an inch or two off will make it uncomfortable.
I bring my ThinkPad to my optometrist at each visit so we can use their test lenses to see how the prescription will look.
I use a 24" 4K/UHD monitor in the office in portrait mode next to the ThinkPad 14" WQHD, with both displays active and using the ThinkPad keyboard and TrackPoint as usual. I put the second monitor at the same distance from my eyes as the laptop display, on an AmazonBasics (Ergotron) monitor arm so it's easy to adjust.
Both are IPS high-DPI monitors around 200 dpi. It is glorious to be able at my age to easily see the difference that high DPI makes, thanks to the computer glasses.
Portrait mode is really nice when combined with the landscape laptop display. An entire PDF page or other lengthy doc fits on the screen readably, or an editor window with 100 lines of code visible.
I also have a pair of progressive lenses for all other use - including reading things on my phone or other devices and in print. Progressives are terrible for computer use, though. I cringe when I see people using them and tilting their head back and moving their entire head around to get part of the computer screen into the tiny sweet spot at the bottom of the lenses. OTOH they work fine for phone use, Kindle or book/magazine reading, etc.
I've always gotten progressives with magnetic clip-on sunglasses. These come as a set with the frame and the matching clip-on. They are much nicer than the generic clip-on sunglasses that are made to work with any frame and literally clip on to them. The magnetics are getting hard to find, though. At my last optometrist visit a year ago we only found one Flexon model. But one was all I need!
I always wear aloha shirts or similar shirts with a breast pocket. If I'm out with the sunglasses on and go inside, I just snap off the sunglasses and put them in my shirt pocket facing outward. Don't need a case or pouch; the cotton shirt won't scratch the lenses, and the curve of the sunglasses fits the curve of my chest so I hardly notice they are in my pocket.
A separate pair of dedicated prescription sunglasses would be much less convenient.