Current technology lens implants go three ways on this. One method is to make the two eyes focus differently -- one at infinity, the other at reading distance (or computer distance), similar to what's often done with Lasik surgery for patients of bifocal age. A second is implant lenses that actually flex similarly to the way the natural lens does, and are attached to the same muscles. The third way (more common than the second, possibly because many cataract patients have weak or degenerated focusing muscles due to too many years with a hardened lens) is implant lenses with multiple focus -- like combining zones from three or four lenses into one. Apparently, after some acclimation time, the brain filters out (most of) the residual blur from the multiple focal lengths, just as it will filter a slight cross-eye or astigmatism (most of the time).
My own preference, and something I need to discuss with my ophthalmologist next visit, is eye drops that are officially sold as supplements that have been demonstrated to shrink cataracts over time (a year or so initially). There are approved drops that do this for dogs, but FDA has not yet approved the one for humans -- however, because it's a natural amino acid, it can be sold over the counter as a suppplement. Last I checked, it costs about $80 for a 90 day supply, which is WAY cheap compared to even the copay for cataract surgery...