There's several types.
Single focus, multi focal, Extended Depth of Focus, very new modular that can be flexed by your zonules to change magnification, attempting to mimic your natural lens, light adjustable lenses.
Getting one lens set to nearer focus & the other to farther is called mono or mini-monovision. This can be done with either EDOF or single-focus lenses.
Lots of choices.
If one goes for monovision, the ophthalmologist will likely insist to wear contacts simulating the effect, to assess how one tolerates it.
Join and follow reddit cataract surgery as one source of information.
I settled on single-focus refractive design lenses...less to go wrong, mitigating problems with artifacts, halos, starbursts, glare, contrast degradation etc.
Was strongly considering EDOF IOLs set to mini monovision, but didn't want the chance of aforementioned problems with the focus stretched...didn't want to chance binocular depth perception compromised by 2 different focal points of mini monovision.
Didn't want modular, because more moving parts, more can go wrong.
So, I went with quality single-focus lenses, both set to distance. Emulating your natural eye lens in design.
Need light readers for small print closer than 12 inches; everything farther out is excellent.
No glares, halos, starbursts at night, no degraded details, no possible compromise of depth perception.
Everything crisp & clear beyond 18 inches to as far as I can see.
YMMV.
Plenty of research & due diligence to make the best informed decision possible for a permanent change to your vision is highly advisable.