Hey there is not much info but this is a small list of known weapon types so far http://chroniclesofelyria.gamepedia.com/Combat_Skills
And in terms of combat styles all we really know is that we can mix and match moves from them to create our own unique personal fighting style, for example, you find that it is very effective to use certain mace type strikes and rapier strikes with a broadsword while holding it as you would a hammer.