Sight Picture
The single most important thing about shooting of any kind is sight picture. What you have to learn to do is focus on your front sight. The rear sight is a blur; the target is a blur.
FRONT sight!
The combination of sight picture and trigger control are the very foundations shooting is founded on. You’ve got to watch your front sight. The target needs to be a blur in the background; the front post has to be centered in the rear notch—the same amount of light on either side. 90 % of the shooting game is the front sight. It’s that important. Whatever it takes to make you look at the front sight is good; do it.  Bad sight picture is the single biggest and most common mistake any shooter, new or old, makes.
 

Trigger Control
Once you’re able to see your front sight, you don’t want to jerk the sight off the target when you’re pulling the trigger. The second basic skill, then, is trigger control. You’ve got to be smooth on the trigger or you’re going to jar off that carefully held sight picture. You’ve probably heard “squeeze the trigger” more than any other piece of advice about gun-handling, and it still holds true. Proper finger on trigger position is to place the meat/pad of your trigger finger on the trigger and use steady pressure while “squeezing” the trigger.  While some advocate using the finger joint, doing so causes the shooter to wrap his finger around the trigger  too much and end up "wrenching" the thing, creating more erratic groups.
Finally, just a few words on the flinch, anticipating the blast/recoil and actually jerking the gun barrel down. There is no miracle cure …..  Just practice, both live and dry firing. The only way to have a good trigger squeeze is to be surprised every time that gun goes off.
Moving Targets
The basic techniques with a moving target is identical to the technique used with a stationary target—concentrate on keeping your target a blur and your front sight on the same spot on the target. The reason a moving target seems harder to some shooters is that the eye wants to follow a moving target much worse than a still target. It is harder to concentrate on your front sight when your eye is being drawn to something moving in the background. Once you’re able to concentrate on that front sight, however, you will find that the moving target is a snap.  Obviously, you’re going to have to lead a moving target. Lead simply means that because of the motion of the target, you’re going to have to shot in front of where you want the bullets to go. The best way to learn how to shoot a moving target is to set one up and practice. The two main points are

  1. force yourself to concentrate on that front sight regardless of the distraction a moving target offers, and
  2. strive for a smooth, steady tracking motion with your gun, remembering to turn your body from the waist. Do not alter your stance during the firing sequence.

Practice Practice Practice
The intention of practice is to improve and get better.  If possible practice with a good mentor.  A “good mentor” will tell you what bad shooting habits you are exhibiting.  The key is NOT TO REINFORCE BAD HABITS