The super short ones like the PM's have been known to have reliability issues (mostly feeding). All Kahrs benefit from extensive firing when new before relying on then for defense. 250-500 rounds is not too much. They're tight, which is one reason they have good accuracy. The CW series is budget, K, P, and PM are mid-range (Kahr still calls them premium) and T & MK series are top end. The sights are SUPER tight in the dovetails, so opt for night sights up front if you ever plan to have them. The triggers are the stand out feature for two reasons. They're long double action in feel, but light and incredibly smooth. Not Para Ordinance LDA light, but in the 5-7# range. The best direct comparison I can come up with is the Ruger LCR trigger, but it's even smoother and a touch lighter. Recoil springs are stiff due to the light slide weight and really stiff on the short ones, so consider that if hand or upper body strength is an issue. That's one reason I think people have issues with the PM & MK series guns (more on the PM side).
I've owned a couple and shot quite a few and like them. I think the P9 and TP9 are the best of the bunch as far as shooters you can carry well. They're just less bulky than anything else in their range.
The look of them kind of reminds me of the old Smith and Wesson Sigma's, which was actually my first ever purchase 10 or so years back. It was okay, but it seemed to have jamming issues even with all different types of ammo. Next purchase is a 22 pistol for the wife, since she refuses to even shoot anything bigger than that and it's hard enough to get her to even shoot.