The basic lens should correct your distance vision - then you would likely need reading glasses for close up .Unless you took the monofocal approach and had one eye set for distance, and one eye set for close - I tried this with contact lenses before the op and couldn't tolerate it , though plenty of people do.
When I had mine done (5 yuears ago, in the UK), there were 2 broad categories of more expensive lenses: the trifocals which have 3 focal points so should focus on distance, computer and reading - but the downside is they often given bad effects for night driving. Then there is the bifocals - or extended depth of focus type lenses, which typically give you distance to computer range in focus, and help a bit with reading, but likely need reading glasses in dim light. I was told they give less problems generally with night time driving than the trifocals.
I chose the ZEISS AT Lara Extended Depth of Focus lens. I am aware my result was probably better than average, but I am absolutely thrilled at the result. I was young to have it done, so really didn't mind forking out a bit. My distance vision is fantastic, my mid range (computer, music ) is good. and I can read the back of a medicine bottle in good light. It is lovely to be able to go shopping etc without needing reading glasses for every price label. I do use reading glasses for prolonged reading, or reading in bad light, that's all.
It is unlikely your vision will change after surgery long term (I think I was told 1 or 2 % chance). I found contact lenses before srugery hard to tolerate but even worse now, as eyes seem to be a bit drier (though that may be just aging).
If you do decide paying for premium lenses that give you some near vision, as well as distant vision, bear in mind that if you're a picky type person you may find it hard to ignore the night time artifacts (that's me, hence the decision not to go for the trifocals ).
Hope that helps
Don't quote me, I'm not a doctor !