Lots of good advice. Emphasis on the basics. Focus on the front sight. Keep the trigger moving. Follow through after the shot. Repeat.
Understand that the sights will always be moving. As you get better, you will notice that the movement of the sights and the impact of the bullets on the target are generally circular...this is called the arc of movement. For elite shooters the arc is very small; for the rest of us, not so little.
The you are always moving tenet is particularly observable if you have been shooting irons and then switch to a dot sight. The dot dances always. Practice and focus will keep it in the black and the Arc will grow smaller.
About practice. Observe. Have others observe. Read about target shooting.
Three classics are Gil Hebard’s Pistol Shooter’s Treasury, Gary Anderson’s translation of A.A. Yur’Yev’s classic “Competitive Shooting” and Ragnar Skanakar’s “Pistol Shooting”.
have the firearms sights gently fall into the target. and squeezing the trigger at the right moment(not jerking it)
Yep. Trigger control......squeezing the trigger at the right moment. If only. Learning that is one of the reasons that dry firing is recommended. Sit with the gun and dry fire again and again and again and again so that you know exactly when it will break.
It is one of the things that Brian Zins emphasizes in his Bullseye Clinics.
Using weights and hand exercisers is the standard advice for increasing strength. My feeling is that using the gun as a weight and dry firing with lots of reps will accomplish the same thing and improve trigger control at the same time.
Have a 1911 or other semi auto? Try this:
Put a dot about 1/8th inch in diameter on a piece of paper. Tape it to a wall. Take a sharp new pencil with an eraser and drop it into the barrel eraser end first. Stand close enough to the wall/paper with dot so that the tip of the pencil is about 1/4 to 1/2 inch away from contact. Aim at the dot and dry fire the gun. The firing pin will strike the pencil and pop it out so that it contacts the paper. Do that 10X and you will see a pattern of pencil marks about 3/4” below the aiming dot. That is your group. Ideally there would be a single point that was hit 10X. That probably not gonna happen. The smaller that cluster is, though, the better