first off, what are you using to learn chords...i've seen books at music shops that have actual pictures of where the chords are, what they're called, where your hand should go, inversions...i play totally by chord and it helped me a lot to use a book like that.
Something i've noticed about contemporary music is it's all about simplicity...most of the keys players i listen to don't hit a LOT of notes, but they make the ones they DO hit count
It's good that you already know classical, that leads me to believe you've got a good working knowledge already of what things should sound like, listening is the biggest part of this.
i know most of that was rambling and i hope some part of it helped..
-Laia