One other thing to do is index your body to the target. I use the modified-weaver stance.
Basically I use a field interview stance, bladed to the target, visualize the target, close your eyes and bring your UNLOADED gun up to the target. Adjust right or left aim by adjusting your feet to turn your body. Once you get comfortable with that and your grip is consistent, you can practice pointing at different angles and positions. It becomes easier and faster as you progress.
As Kraig states you want to practice slow, smooth actions from draw to presentation. Practice perfect slow presentation enough and speed will come organically.
My rifle and pistol are tools, I am the weapon.