Micro 9, perhaps? Or Micro?
I can’t find a “Micro Mini” in anyone’s lineup.
If you’re talking Micro 9, so that caliber, at least, is consistent among your choices, then I would still go with the Sig P365.
Kimber claims a smooth trigger. It probably is. But the gun is a single action 1911-style pistol. Carried cocked and locked. Far more training is required for that one than for the Sig. The Sig is draw and pull. The Kimber is cocked and locked the holstered. Draw and safety off, then pull...or holster without being cocked and locked.,..then draw, cock and pull...either way, it’s an extra step, and a different extra step depending on your choice in carry condition.
Frankly, you would be surprised how many people, trained LE and military types, will forget a safety on say, an M-9 when shooting under pressure. I’m not a fan of safeties in a carry gun for that simple reason.
The Sig and the H&K have a big advantage in this comparison.
Additionally, both the H&K and the Sig carry three extra rounds. That’s an important difference.
Finally, that H&K is a big gun compared with the other two. Significantly longer, and thicker.
So, size, capacity, trigger, simplicity - advantage Sig.