Presentation from a holster is one of those skills that I've noticed only a small percentage of shooters work on. However it is one of the most important elements of fast, accurate tactical shooting. One of the currently taught methods in LE is based on the Dept of Energy (DOE) 6 Point Presentation with a modified Weaver stance. And here's how it looks using a belt-mounted holster (duty gear configuration). Some adjustments must be made for atypical holsters and CCW carry.
1- Your strong hand goes to the gun and defeats any retention devices on the holster while taking a solid shooting grip. It is important that you have this shooting grip prior to any movement of the gun as you don't want to be adjusting your hand at all after you draw the gun. Simultaneously, your support hand moves up to your chest, thumb up and palm flat against your breastbone. At the same time, you will also move your body into a tactical shooting stance, leaning forward from the waist with the knees slightly bent; feet shoulder width apart with the support foot slightly forward and toes pointing toward the target.
2- Pull the gun from the holster. The motion will vary depending on the type of holster and level of retention. Some pull straight up; some must be rocked forward, backward, or twisted to clear the retention. At the end of this step, the muzzle should have just cleared the top of the holster with the gun still in a vertical position.
3- Rotate the gun to a muzzle forward position with the top canted out (away from the body) slightly and the bottom of the strong hand touching the side of your body. This is done right above the holster. At the end of this step, the muzzle should be pointed at the target. You have a solid shooting grip, your support hand is still on your chest, and your body is in a shooting stance. If the target is at extremely close range, you could start shooting from right here and even be using your support hand for offensive strikes to the face or high defensive counters. The important point to that is to keep the support hand high and out of the line of fire. Canting the gun keeps the slide from hitting you or getting bound up in your shirt. Practice some live fire from this position at 2-3 yards to find where the bullets strike when shooting "from the hip". You should be able to get accurate center mass hits from here with some practice.
4- Start to push the gun forward while your support hand slides over to take up a support grip. Be sure that you are not putting your support hand fingers in front of the muzzle. The palm should stay in contact with the chest while the front of the grip essentially "peels" the fingers off the body and your support hand wraps around to complete the two-handed grip. Both thumbs should be pointing forward along the support side of the gun and not touching the slide. The support hand should be pulling back against the forward motion of the strong hand. Once you get where everything is working smoothly, your trigger finger needs to be transitioning to the trigger at this point (note that your sights are on target and you have decided to fire, so it is OK to touch the trigger here).
5- You're still looking at the spot where you want the bullets to go and you continue to push the gun forward like it is riding up a ramp toward your line of sight. With a lot of practice, you should have the front sight of the gun intercept your line of sight to the target at the moment your strong arm is fully extended. The support arm should remain bent at the elbow and be rotated so it is under the gun, not sticking out in the air to the side. Think of your support arm as a bench rest holding the gun up. And if you haven't done so already, you should have your finger on the trigger here and be taking any slack out (e.g. Glocks need to have a lot of slack taken out to disengage the safeties before you can start the trigger squeeze).
6- When the front sight enters your line of sight to the target, you shift your focus fully to the gun's front sight, allowing the back sight (blurry) to line up and the target (blurry) to remain behind that front sight. You squeeze the trigger smoothly and straight to the rear. When the shot breaks, you continue to pull the trigger to the rear and force the front sight to stay on the target following the recoil. The trigger finger smoothly moves forward until it "resets", then you immediately and smoothly repeat the trigger pull and fire a second shot. All of this is happening very quickly, and is called Minimum Standard Response with a Compressed Surprise Break and a Flash Sight Picture.
These steps should be mastered through lots of dry practice. Using an empty gun and a safe back stop, one should practice the steps slowly and piece by piece. Very gradually speed up and eliminate any hesitation between steps until the draw is very smooth. Remember that smooth is fast and focus on execution of all steps in one single motion.