Should be OK to work close-up without differentials. If it’s a laptop, maybe you can move it closer so you are not leaning forward? Don’t move it very close, just to the edge of blur, and try to keep it as far as possible. If you spend a lot of time in front of the screen, then set it at a distance that is the furthest where you can still see it clearly and then gradually build up time when you are pushing it a few cms further so you have to clear a tiny bit of blur and when you get enough of the challenge, move it back to the maximum clear distance. Gradually you’ll be able to increase the time and the increase in the distance will come automatically
If I understand correctly you now have full prescription glasses of -2.50D. A normalised would be something lower but you will have to wait and measure before you can determine what it should be. The first drop will depend on a lot of little things.
So start working with the differentials as explained and wait with getting the normalised. Until then make sure you move everything to a bigger screen if possible (don’t watch movies on your phone, try to move chats to a laptop / tablet) and push everything to the max distance, make sure you have good lights all around you, make sure you spend at least the first 20 minutes of the day without glasses observing what you can see around you (so you’ll be able to notice the gradual improvement), and spend a lot of time outdoors if you can.