When I think of "styles" I would think more by region - so you have a family of Egyptian styles, Turkish styles, Lebanese styles, Western styles. Within each of these there is also a huge range - for instance in Egyptian there are differences between Golden Age, Classical and Modern (ironically about 1990s); between orientale and beledi, between Mohamed Ali Street and Reda. Then, as I said, there is a range of folkloric styles which can be danced on their own or within an Orientale piece.
For the OP - what style choices are you being given? I'd sayteh basic technique is the basic technique for a year or so unless you are going Tribal in which case you need to learn cueing and blending with a group.