Hello. The best I can do to answer your question is to give you my observations on the three pistols you mention. Which feels or looks the best is subjective; what is "best" feeling for me might very well not be for you. Hopefully, you'll be able to handle all three.
First, I've only owned about 3 Beretta M92 series guns in my life. One was the old, original version with the frame mounted safety, one was a compact and one was the 92F. All were utterly reliable and more accurate than expected, but I didn't care for either their looks, feel, or the number of internal parts compared to the other two guns. I'm not knocking the Berettas, only saying that they don't do it for me. You might really like them. Of the three you mention, the Beretta may still offer the chrome-lined bbl.
Been shooting Browning HPs for over 30 years. Of the three, they have the fewest internal parts and are quite simple to detail strip should that be an issue. Lots of aftermarket parts, should that be important and quality original capacity magazines can be had for less than many of the newer "high capacity" 9mm pistols.
Several "name" gunsmiths also customize the BHP. All of the MkIII HPs and their variants have very good groups for me and meet the accuracy standards I require, but they would not be a first choice for competition bullseye shooting of serious nature. Neither would any of the three, but all of them generally offer extremely good "service" accuracy in my estimation.
I've tricked out a few HPs over the years including Barsto, fitted, match bbls and on the older guns I have, a '71 & '72, they did tighten groups, particularly with cast or plated bullet handloads. With jacketed rounds, I noted little difference, but there was some improvement.
Comparing against the MkIII pistols, I've noted that the newer guns do tend to group darned well with their factory bbls and have seen no need to replace the bbls. With Load A, the old Barsto HP might outgroup a MkIII and its factory bbl, but with a load that the MkIII "likes," it might very well outgroup the other gun with its fitted bbl. Go figure.
My CZ75 pistols are my favorite of the world's DA/SA pistols that I've tried. Accuracy has been fine and reliability virtually 100% with decent ammunition...as has been the case with the MkIII HPs out of the box.
Like the MkIII fixed sight HP, the current CZ75/85B series have decent fixed sights that are quite usable right out of the box. The CZ75 Pre-B sights were not nearly so visible at speed. I had a set of Novaks added to my CZ75 and use an 18lb recoil spring as I shoot quite a few warm to hot handloads and +P ammunition in mine. Been shooting it since the early '80s with no problems.
Internally, the CZ does have more parts than the HP and it is more difficult to detail strip, though field-stripping with any of the three pistols you mention is plenty easy.
Both the current HPs and CZs have internal firing pin safeties. I prefer the one on the HP to the CZs as it doesn't seem to glitch up the trigger pull right at the single-action break as does the CZ, at least to me. On the other hand, the CZ doesn't have the BHP's magazine disconnect that adds both weight and grit to the trigger pull.
All of my CZs have original bbls although I have had some of them hardchromed. All shoot plenty accurately for me.
The BHP is a bit more compact, but not by so much that there's a big difference.
This could go on and on, but you get the idea.
I've included some pictures that might provide some information as to grouping as well as size between the BHP and the CZ75. I don't own a Beretta 92 at present, so nothing to photograph for comparison.
Best and good luck.
Pre-B CZ75 with group fired at 15 yards with selected handload.
Very, very lightly modified BHP with 15 yard group with IMI JHP ammunition.
Slightly more customized with another 15 yard group. Plenty accurate enough for me, but NOT to match standards.
BHP (top) compared to CZ75 from the top.
BHP to CZ from side:
...and from the bottom.
So, hope this is of use. In the end, pick what YOU like and what's "best" for you.
Good luck and good shooting.
Best.