Ok so the best general pistol is the Hi power. Hi cap magazines and reliable But as others have said there quite expensive.
My second is the TT-33, very reliable, and fires 7.62x25 which is a great round. Only problem is single stack 8 round mag but if that's not a problem then it's a good choice.
1903 hammerless isn't worth it reliable. Yes but a tt-33 is a copy of it in a better calibre.
Luger, is accurate smooth action, again though single stack magazine and its notoriously unreliable. Also it's toggle locking action makes it a bad first handgun. It's probably some to consider at a later date.
Walther P38- I'd consider this a bit better than the tt-33, maybe (apart from single stack mag) better than the Hi power. It looks awesome, and has a lot of advanced features, de-cocker, double action-single action trigger.
C96- reliable, accurate, round almost identical to tt-33, but same as Luger not a good first.
Overall I'd say Walther or Browning, Walther is better apart from mag capacity of the Browning. I'd look at cost and what you enjoy shooting most as both are very reliable and good handguns. My pick though is Walther P38.