thing about characters like falcon, though, is that they always have to be on their toes when approaching someone since they don't have anything like falco's laser
See? This is why I like Falco
Knowing you have the best projectile in the game, as well as the shine, on your side is reasuring.
As for an aggressive playstyle, you don't want to break that habbit. You may want to soften it, depending on how aggressive you acualy play. You should know when to back off and, say, laser camp if you're Fox, and make your opponent come to you.
For example, Fox vs Jiggs, Fox wants to use his laser to make Jiggs approach him, since Jigg's approach is slow and cumbsy, while Fox can handle approaches very well with his speed. In that case, you should know to play defensive.
Meh, the best way to explain it would be to say you need to know when you want to be aggressive, and when you DO chose to be aggressive, you need to play with that style instinctivly. Vice-versa applies for a defensive playstyle of course.
As for a good character for you, I'd suggest you try the space animals (that's Fox or Falco) or Marth. They take a while longer then other characters to learn, but they are really fun to play. If you don't want to use them, try Falcon or Shiek. Their a little easier on the learning curves.