Most any name brand hollow points will get the job done. The most important thing is to find one that YOUR gun likes. Accuracy can vary wildly. Get a variety of ammunition of different weights and power levels appropriate for your gun and shoot it rested off the bench. Once you find something that meets your expectations get a bunch of it and start running drills to build your skills.
Offhand shooting doesn't do anything to show the "Mechanical Accuracy" of your firearm with any particular ammo. Once I find what's "Mechanically Accurate" then I can see what I am actually capable of.