I've had cataract ops on both eyes, plus laser surgery on one eye as well - all on NHS. Won't bore you with some ups and downs - mostly administrative, but reassure you that the ops have been very successful.
I've worn glasses all the time since I was 11 years old, being very short sighted in both eyes, but with quite a large discrepancy between them. . At the moment I can actually read subtitles on the TV without my glasses, and in theory I could probably drive without them, but certainly wont.
I suggest you go to an optician and see if your glasses are correct, and tell them your problems. I did need to get new glasses after the ops.They should be able to refer you to a NHS eye clinic if needed, or it may be that new glasses will help.
Incidentally,when I returned home after laser surgery I would have sworn that the ceiling was covered with little crawling black insects. Fortunately I'd read somewhere that after laser eye surgery it was probable that one would see floaters for a short time. They disappeared within 24 hours.