Project management is project management, regardless of the technologies involved. Obviously having some web skills is useful when talking about web projects but be careful not to confuse your 'new' role with the techies role, it becomes a world of pain managing it and having to do it at the same time.
If you've coordinated some big projects then you've clearly got some experience. Was there any man-management (or person-management for the sensitive amongst us...) involved?
You probably need some skills in management tools - MS Project or the like (check Rally too). If you've not dealt with staff then get some experience in that.
And get used to delegating. You'll get itchy keyboard fingers for a while thinking 'oh, I could do that bit of the work'. But that's not you anymore - you'll be the one telling customers why it's not going to plan....