How to move from a trainer?
RC Chick,
What type of flying do you like to do or want to do? I would recommend that you visit local clubs and look for a plane that you like. Many club fly-ins and the such is the best place to do this. Once you have found a plane that you like then either get that kit, or an ARF with the same design.
As far as engine, I would recommend either a 4 stroke or 2 stroke that is at the upper size limit.