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Accuracy of PM9s is not a problem. The gun itself is very accurate. Accuracy issues with the PM9 probably are centered around the trigger pull being different than most of the modern striker-fired pistols. Longer stroke (akin to DA), but light. Tendency is to react prior to the round going off. The 938 or a 1911 with a short light trigger is going to mask that. That's a good thing really if it helps perceived accuracy. You've got to be comfortable with what you carry and you've got to be able to hit what you want to hit to be comfortable. I shoot the PM9 really well and find it unbelievably accurate for such a short barrel. Watch Hickok45 shoot it out at distance.

If you like .45, Kahr makes a PM45. But again, you'd have to like the trigger. The PM45 is a little bigger than the PM9. It's a touch wider than the LC9.

The Sig 938 is definitely smaller than the Shield, Glock 43, Kahrs, and XDs. I find the Shield/Glock 43 a little bigger than I like for pocket carry, but this will be highly subjective.