[g.willikers]

Most handgun problems are traceable to the grip or trigger mistakes.
The support hand has to do much of the control.
If you're getting the shakes, you might be gripping way too tight.
Spread the grip between both hands, around 50% each, about the same you would hold a hammer or a ball bat.
Tight, but not greatly so.
Try using the thumbs forward method, one on top of the other, both pointing to the target.
Use the shoulders to push the gun forward as you shoot, to control recoil.
Use whatever part of the trigger finger that feels the best, and don't disturb the gun or sight picture while pulling the trigger straight back.
Also be sure the trigger finger is not pushing on the side of the gun.
As been said, it's hard to see what you might be doing wrong by yourself, though.
But try the above methods and see.