Remember in all these drills....it depends on what you're trying to accomplish.
Bullseye shooting ....nice and slow / careful squeeze...grip pressure ...don't steer the gun ...all this stuff works really well / and yes you ought to able to fire a fist sized group ( about 5" accross ) pretty easily at 30 Feet.
Tactical shooting ...is a very different issue. Your target area might be 12" wide and 18" tall ...kind of like from nipple to nipple ...and down to the belly button ( in the chest area ) ...yes, ideally you want to center punch the chest area...but any hit in that area is as good a shot as any other. The question is ...can you do it quickly .../ and quickly from the high ready position vs drawing from a holster are a little different... maybe a double tap from high ready in under 1.5 sec ....and maybe 2.5 sec coming out of a holster are good standards for you ( over even add 0.5 sec to each ) ...so you start your learning curve. Making that move safely and consistently is a really big deal ...and very different than Bulls Eye shooting.
Picking the right gun / or the right platform for yourself ...and right caliber - etc...is all about what fits your hands the best / many guns, you can change the grips on them - buying different grips / some have changeable backstraps, etc. ...making sure you can reach the controls on the gun comfortably without changing your grip is a big deal ...all of this stuff makes a really big difference. Grips on revolvers and semi-autos are a little different typically ...so do some research on all this stuff...read some good books like Combat Handgunnery ...a gun digest book from Massad Ayoob...is a good one ....
http://www.amazon.com/The-Digest-Book-Combat-Handgunnery/dp/0896895254
Some thoughts on 2 drills : ( there are lots more out there to run )
Accuracy ... on a T-2 target tape a 4" red square left of center ..and another red 4" square right of center ...and a 8" by 8" green square at the bottom of the T-2......so you have 3 different targets on a standard T-2 paper target.
From the high ready ....single tap each red target ...and then double tap the green one. Do it in under 5 sec...to start with say ...
a. put Target at 6 Feet.... ( 4 shots )
then at 9 Ft, then 12 Ft, then 15 Ft, then 18 Ft, and 21 Ft ( so 24 shots total ). If you can run this 100% clean - under the alloted time --- then drop the time 0.5 sec...until you can't do it consistently. See how it goes !
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If you're holster certified ....try the same drill, drawing from a holster.
Speed Drill ...
Tape up a standard T-2 target... any hit on a T-2 is a good shot.
From the ready or from a holster....
again at 6 Ft, 9 ' , 12 ', 15', 18', 21 ' ....and 24' ...27' and 30' ....can you double tap that target in under 1.5 sec from high ready / can you do it in under 2.0 sec from a holster....and can you run it 100% clean to at least 21 Feet ...or out to 24 Feet ...or 30 Feet.
You don't need any special equipment.. to run these drills.
Maybe at the start of your range session ....take 6 rounds ...and fire, slow fire, the best 6 shot group you can do at 24 Ft or whatever..( see if you can cover all 6 shots with a quarter or a .50 cent piece coin. date and time the target /put it aside.
After you run your drills for the day .....do this 6 round drill again ....is it better or worse. If you can cover it with a .50 cent piece at 24 Ft...move to 27 Ft and then 30 Ft. Some days I can do it very well ...some days I can't ...but its all part of the game / and tuning up your concentration and muscle memory .../doing it on every range trip will probably make you a better shooter over time ....