If the weapon use a clip I might consider Gear Access Modification giving an advantage. For a revolver with cylinder though? No, unless you use a Speed Loader. See it with your GM since there is nothing RAW about that.
Personalized Grip works on melee weapon so I do not see why it would not while using the gun as an improvised Club.
For your character, I imagine that you plan to fire both gun in the same action? Do not forget that it will divide your dice pool, right now you throw 16 dice at best (if you manage to get a good agility boost) which make only 8 dice for each weapon this is a bit low as even your basic ganger will throw around 6 dice. You should consider adding a Smartgun and picking Contact (or other Vision Devices) with Smartlink to get +1 dice on each gun. The Adept Power "Improved Ability" might be a good idea too, you can go up to +3 to your dice pool with it.
Your Sneaking dice is a bit low, you will barely throw more dice than your basic ganger have to detect you. Consider adding a Urban specialization since it is where you are most likely to have your runs. Same problem with Palming, you only throw 9 dice, consider a Specialization here too.
Pretty sure you can't specialize into a Martial Art for the Club skill, reason being you would get bonus dice with basically ALL weapons as long as they fit the style. I would recommend chosing a Baton specialization instead and pick a couple of Extendable Baton which fit well with the martial art, are cheap and are easy weapons to hide. You might also be able to pick up the amazing Stun Baton because your character lack a non-killing weapon. If you really want to stick with using your guns in melee you can probably negotiate a speciality in Improvised Club (Gun) or something like that but it will be a bit a waste of the martial art considering that they only deal (STR + 1)P damage.
Talking about Weapons the Super Warhawk is nice to put big holes in a target but the Taurus is more versatile and easier to hide, put one in a concealed (Quick-Draw) holster somewhere on you for those situations where you have to leave your big showy guns in the coatroom.