The Police has a narrow 4 1/8" hollow ground blade with a rather flat edge and somewhat delicate tip. This makes for a very useable weapon if that is your concern, but Spyderco makes better MBC choices in the opinion of many experts in that field. The factors mentioned do limit its usefulness as an EDC, since the flat edge means less "Belly" which limits the blade's ability to slice and I have read enough compaints about the tip breaking off of Police knives to raise questions about their suitability for daily carry. I also found the grip on mine, a stainless steel version, to be rather uncomfortable. The CF version may be better.
The Military has a 4" blade that is rather wider and has a deep belly and a flat grind. The grips are very much more ergonomic and are of G-10. Most users reporting here seem to really like the slicing ability of the combination of deep belly and flat grind in the Military and my experience with mine was that the blade, although only marginally shorter, seemed much "handier". I view the S30V crucible steel to be a distinct advantage over the VG-10 steel in the Police, but that is a subjective matter.
All of this said, my preference, when I am able to exercise it, is for the Terzuola StarMate by Spyderco. This knife comes as close to perfection in an EDC as I have found to date. I prefer the hollow-ground CPM440V blade for its increased strength, and I prefer the shape of the grips to either the Police or the Military for their ergonomics. Finally, I prefer the aesthetics of the StarMate hands-down over either of the other two knives. These knives are out of production, but they may still be found if you look for them and they are more than worth the effort, IMO.
As a wild card, have you looked at the Keating Chinook, also by Spyderco? This is one of their MBC line of knives, designed by James Keating to use his techniques, including the "Back Cut". But it is one Hell-for-leather strong tank of a knife that is, essentially, a very heavy-duty Buck 110 upated with the latest materials and manufacturing techniques. The blade is 3.75" of CPM440V with a very distinct clipped point like a bowie knife and a saber grind. The G-10 scales have dual steel liners and the lock is what Spyderco calls a "Forward Lock" which is a lock back moved forward to be in the middle of the back instead of down at the heel of the knife where many makers still locate it.
I hope that my help

)) has not presented too many problems.