What would their weapons be like? I imagine it'd be heavy on the fist/claw attacks...but anything held?
Assuming they have the "mutant" type of arms, which I prefer, accurate swordplay would be difficult due to your reach and grace being restricted. So they probably favor spellcasting, ranged attacks, or big choppy things like axes that require only a great big swing, no grace necessary.
(Proposed) Favored Classes: Sorcerers, Barbarian, Ranger, Monk.
I think Monk especially because of their inherent social, sharing psychology, remote settlements, and the whole fist weapon thing. I imagine a colony of batfolk living deep in some mountain cavern, meditating upside-down, crafting sonic art, and practicing mid-air martial arts.
So, basically, kung-fu movie shaolin monks, ridiculous leaping, spinning combat included.