Dry fire is absolutely fine for a centerfire handgun. You don't need to spend money on snap caps, save it for ammo. It will help you shoot better, just be sure you are using a proper grip. If you aren't sure about how to grip a pistol properly let me know and I'll send you some articles. Don't just stop with trigger control, there are lots of dry fire drills that will help with draws, magazine changes, target transitions, shooting on the move, shooting from awkward positions like cover over prone and other fun things.
I have over 60,000 rounds through this gun and 10 times as many trigger pulls in dry fire. I think I finally broke my trigger return spring around 20,000 rounds which would have been 220,000ish trigger pulls. I feel very certain you will have no issues with your firearm due to dry fire.