I have all three too...
...but it's like comparing apples, oranges and strawberrys. They're all different guns.
The BHP is SA only. You either carry it cocked and locked or hammer down. HiCaps are readily available and cheap. I've had a mid 70's Capitan, (which I traded. D@mn!), and now own the current Standard model w/ adj. sights. I hear a lot of folks complain about the trigger, but other than having the mag safety removed, the trigger on mine is stock. Trigger pull is more than the CZ and Beretta, but it's fine by me. Honestly, I prefer the earlier models, but the fit and finish of the current model is actually superior to earlier models, IMO. It's the most expensive of the three also.
The Beretta 92FS is DA/SA. It has a decocker. It's also a BIG pistol. The biggest of the three. But, since the frame is an aluminum alloy, it's the lightest of the three. Ironically, at least with mine, it's the easiest to rack the slide on, of the three. The DA trigger is loooong, but the SA trigger is nice and the lightest of the three. HiCaps are also easy and cheap to obtain. If you plan on upgrading the sights, get the Brigadier model. The slide is beefier and you can have your new front sights dovetailed in. The 'base' model has permanent front sight and the slide doesn't have enought metal to dovetail. It's the next one, expense wise.
THe CZ75 is also DA/SA, but it can be carried cocked and locked or hammer down. DA trigger is much nicer than the Beretta but the SA trigger falls between Beretta and the BHP. It's also a tank. All steel construction. HiCaps are cheap, and the military model comes w/ a 15 rounder as well as a 10 rnd mag NIB. The sights are the worst, (IMHO only. No flames, please!) of the three but should be easy to upgrade. As the cheapest, by a wide margin, of the three, it's easily the best value. Don't let it's price fool you. The CZ75 is every bit as high a quality weapon as the Beretta or BHP! The Czechs are world renowned for producing high quality goods!
All three are very accurate, out of the box. The BHP is the most readily customized and has "History and Tradition". The Beretta is the current service pistol for our armed forces, so that definitely says something. The CZ75 is used by armed forces and police forces worldwide and is one of the most copied designs ever. You basically can't go wrong with any of the three.
It basically boils down to what you can afford, what feels good in you hand, and, if you are able to, which you shoot best. Good luck.!