To me the computer glasses sound reasonable if they seem to be working for you. You’ve taken out the cylinder and reduced 0.75 SPH in each eye. Can you see the computer comfortably with them?
If I were you and had access to cheap glasses online or a trial lens kit I would also consider trying something like -1.25 SPH in both eyes for in front of the computer (as an experiment) and see if you feel OK with having the same correction in front of each eye.
I would also be inclined to see if you’re able to just use SPH instead of CYL for your outdoor glasses, maybe try -2.5 SPH right eye, -1.75 SPH left eye. (Or even -2.25 SPH in both eyes. If you can keep it simple, try to keep it simple.)
Read up on reducing prescription complexity. If you haven’t been wearing cylinder correction I would hate to start down that path.
If you can’t get away from the cylinder entirely you might try trading half of it for SPH. For example, try right eye -2.25 SPH, -0.5 CYL instead of -2 SPH with -1 CYL.
Especially since you’re used to not wearing glasses, I’d try to see if simpler SPH only glasses with equal correction in each eye work well for daily life. I personally would only wear the full correction right now for driving a car or other dangerous activity.
You want to stop making your eyes worse from wearing too much correction in front of the computer (or using the computer too much!) Increase your outdoor time as much as you possibly can. Find some outdoor glasses that you can see comfortably in but that give you just a little bit of blur challenge that you can clear up.
The first thing I would try to figure out is if you really need that -1 CYL or not, and the second thing is whether or not you can see comfortably with the same level of correction in each eye. Since you’re going from no glasses at all, to wearing glasses, it would be nice to start with the simplest pair of glasses that works and then reduce from there in 0.25 increments accordingly.
None of that is advice, that’s just how I personally would approach the problem if it were me. You might also call around in your area and see if you can find a “behavioral optometrist”. They tend to be more friendly and understanding of what you’re trying to do.