Feral,
I think your military's MkIII differs slightly from that which us Yanks can buy in that you have a lanyard loop.
I own a USP series pistol, a BHP mk III, and would love to have a CZ 75, a Kahr, blah blah.
That being said, if I could have only one autoloader, the BHP is my favorite, if only because it could have been the pistol used by Behemoth in the Master and Margarita.
Controls are great, the internals have been improved (I think), and if you remove the mag safety, the trigger is passable.
It is not a bullet hose like the 1911, but I've got about 6,000 rounds through mine and like the S#$T out of it.
On the list of things to do:
NP3 coating for mags and pistol
real trigger job by Ted Jacobsen
Better sights.
I recommend the Hi-Power. How can you go wrong?
I bought mine for $400 US back in '94, but they seem to have gone up about $75 since then. I have heard good things about the Hungarian and Bulgarian clones which are substantially cheaper, but I have no experience with them.