I practice trigger pulls as a specific dryfire exercise, and do most of the other stuff as JCN described. Once I got my trigger pull really squared away, I found it more helpful to focus on vision in dryfire.
I do like to add stress by doing Bill drill type exercises on 3 targets, with the goal of 18 relaxed trigger presses while doing fast transitions and stopping on each target properly.
As well, you can put serious wear on your gun by operating the trigger in dryfire. Just worth noting, not avoiding.
As you compare dry and live, you'll learn to be "honest" in dryfire.