I've got 6 different varients of the Browning HP, 4 of which are Browning and 2 are Kareen HP(israeli made with built in beavertails). In all of them, after thousands of rounds I have had only 3 malfunctions and all have been traced to aftermarket magazines. My HP's are all stock with the following exceptions:
1. All have Bar-sto barrels
2. All Brownings have Wilson Armor-tuff finish
3. Both Kareen's have NP-3 finish.
I've owned BHP's for 30+ years and they are the fine handguns, you can't go wrong.
Stick with factory magazines. Their are magazines available from South Africa, I have many, and while they function flawlessly, their finish is a little to be desired but nothing NP-3 or Armor-tuff can't fix. The SA mags do have just a slightly thinner mag body but doesn't deter from functionality.
If you do get one you can get it tuned by a good BROWNING QUALIFIED gunsmith to smooth the trigger pull, BUT DO NOT DEACTIVATE THE FACTORY MAGAZINE SAFETY. Lot's of people will say it doesn't matter and will give you a better trigger pull, and while the fact that it will give you a better trigger pull is true, the fact is if you were ever to be prosecuted for any reason and this gun is used, you can be certain that the fact you deactivated a FACTORY safety will come up. In both Criminal (state) trials and Civil(victims family sues YOU). And the burden of proof is MUCH lower in a CIVIL trial.