If you haven't been. one of the best things to do is to just go to a match and watch. Find out who the match director is, and say hello. Talk to the shooters at your local match *when they aren't actively shooting or prepping for their next stage*.
For practice, go do a match... figure out what you need to work on. There are multiple divisions, generally people mostly shoot 9mm, 223 with a red dot or magnified optic, and a semi auto shotgun. That puts you into "tac Optics" 90% of peoples stuff fits into tac limited or tac optics. Really all you need is a pistol, rifle and a shotgun that are serviceable and the knowledge to safely handle them. Lots of guys start with their glock, a stock AR and whatever shotgun they have. You will need ammo obviously and a way to hold ammo. Be it skeet shotgun pouches for shotgun, your regular 9mm mag pouches, and a pocket for a spare ar mag. Run what you brung is usually the way to start. Biggest mistake I made was thinking I needed national match level stuff to go play.95% of people benefit more from a pile of ammo and coaching or classes vs high speed race gear. Come out and play!
Standard stuff is glock 17- glock 34
rifle almost any AR15
shotgun whatever you have Generally a 12 gauge semi auto with extended magazine tube. (stoeger mk3000, etc) When you get serious the shotgun is easier with removable choke tubes. IC/ LM are the two most used chokes.
Have patience, you are trying to learn 3x the gear that you would have to learn in say JUST a pistol competition.