I just saw this post!
The formal shooting sports are like the ball sports there are 100 different styles and they differ as much as ping pong differs from Rugby.
I classify the shooting sports into two major "personalities": Precision/Bullseye and Dynamic/Action/practical
basically the first you are scored on accuracy - how close you are to the center, usually with generous time limits.
the second, you are scored on speed - a timer from the beep till your last shot, usually with generous target size.
The first includes the classic NRA/CMP shoots like Bullseye Pistol, High Power Rifle, Smallbore Rifle and all the olympic rifle pistol events fit into the first. Paper targets with a circular aiming black and scoring rings.
The second includes all the things we call "practical" shooting: Pistol, 2-gun, 3-gun, Pistol Cal Carbine, cowboy action, icore, etc.
NRL/PRS "precision" grew out of practical, so there are huge time pressures but tiny targets and your score is hit count, not time. so it combines both.
Other hit-count events like Metallic Silhouette I'd put in the "precision" column.
The shotgun sports (trap/skeet/sporting clays) are different still since the target moves, but they are hit-count not time.
I'd recommend you go watch a bunch of matches and youtube videos. Check the websites for the 2 clubs (
https://phoenixrodandgun.org/,
https://www.rsscaz.com/ and the landless clubs that use Ben Averyhttps://www.azgfd.com/Shooting/BASF/ such as
http://www.desertsharpshooters.com/ ) and see what's going on this weekend (or this evening)
figure out what appeals to your personality (I'm slow, so I like the precision stuff) what equipment you have (some shoots like IDPA are perfect for what you likely have, other events such as F-class, USPSA, benchrest, the top competitors have really optimized the equipment needs.) Some of the clubs have loaner guns available.
Some clubs have beginner's classes, PRGC bullseye pistol is this weekend, 19-Sep, not sure if there's still time to sign up or not. Rio runs CMP style high power clinics.
I have a website with a lot of info about the NRA/CMP/Olympic precision sports:
http://arizona-rifleshooting.com/I've tried almost everything. I'll be glad to answer any questions you might have
shoot good, welcome to the sport!
Poole