Start at the beginning
DOVE,
I have worked in law enforcement for almost 20 years and we have gone through several different shooting styles.
I would not worry about them. Pick one and stick with it. Once you have mastered it, then consider the others. Forget COOPER, CIRILLO and FAIRBURN. Think MYSELF HITTING THE TARGET!
The best method is to get training from a qualified trainer or school. It will make a world of difference.
Otherwise, I would recommend that you need to hit the target before you do anything else. Start with an easy to control gun, like a .22 rimfire or a medium frame .38 Special revolver using WADCUTTERS (recoil is low and you can see what is happening at close range). Once you hit the target at close range, move it out.
SIGHTS, GRIP, TRIGGER CONTROL. Get them down.
You can try different holds, like the weaver and turret stance as well as one handed. I would USE ONLY ONE STYLE. JUST ONE till you get on target all the time.
I use the turret (also called equalateral or triange) and Weaver hold most of the time. They work for me. You need to stick with one and get it down.
My agency only allows one handed at 3 yards during our qualification drill. The old I&NS drill used 1 handed starting at 1.5 yards with a SPEED ROCK one handed draw and fire without sights. We tucked the grip of the BERETTA against our ribs and fired at what we were looking at. It worked to a limited degree.
Once you can hit the target over and over again, then go up in caliber. Move to a .38 Special or 9m.m. and do the same. If you use proper ammo, you can stay at this caliber level or go to a higher power range like the m.m.+P+, .357 magnum or a bigger bore.
Start close, say 3 yards, then 7 yards and then 10 yards. My present agency shoots only to 15 yards, not the 25 yards we used in I&NS. Put accuracy ahead of speed. Practice and you will get faster. The point is to do it enough so that you can move on to the draw.
I went through the academy at FLETC (Federal Law Enforcement Training Center) and if they did not get the "hitting the target" part down during firearms training, they would be plain dangerous when they started the "drawing or presentation" part.
Good luck with whichever way you go.
Jim