To improve accuracy with the trigger, I take up the slack, refine my aim, then fire. There is a place where the trigger pauses near the end of the stroke. I find that I can hold it there without having an AD, although I only do that when I am pointing at a target and intend to fire.
A good grip, firm wrist and arm are essential to avoid limp wristing it and having misfeeds. The recoil is very snappy. I put a strip of hockey tape on the back of the grip to tame the cheese grater.
The most dependably feeding SD round in my TCP is Hornady Critical Defense, so it is my carry ammo. The conical shape of the bullets really helps prevent misfeeds where the tip of the bullet stops against the almost vertical feed ramp, which happens with me sometimes using FMJ target ammo.