I'm in the market for a better camera than I currently have. Thing is I dont know as much about the camera world as I wish I did. Are there any recommendations that can be made? Some quick explanations for what I should be looking for? My price range is right around $500, maybe a little more but hopefully less.... but generally in that range. So what should I look for?

Brand?
Styles?

Anything notable that you can offer would be greatly appreciated!