Buying the tool is a matter of personal preference. I just hold the frame and slide in position with one hand, and tap the end of the slide stop with a plastic screwdriver handle to start it, then pull it out with my fingers. I'd spend my money on another magazine.
Kahr recommends 200 rounds of break in. What I recommend is to field strip the gun per the instructions, run a patch down the bore, reassemble, and shoot the 200 rounds. I always inspect the first cases ejected, and some of the last, to spot any problems.
After shooting the 200, field strip, give a through cleaning and lubing, and shoot at least 100 rounds of whatever brand and type your carry ammo is. Shoot the entire 100 in one session. If after the 200 round break in, it jams during the 100 round reliability test, it isn't reliable...send it back to the factory. I know ammo is expensive, but don't cheat your safety by using cheaper ammo for the 100 round test, use the ammo you're going to trust your life to.
Since this is a Kahr K9, you won't have any problems.
Congratulations, you just bought the gun by which all "mini guns" are judged, and most found wanting.