With a good book and tools for specific jobs, this is one of the better ways to learn about your bike. You get to take the parts off and observe how they were properly installed, and then you get to replicate that process on the new frame.

Bar, stem, controls all go over as a unit.......no problem there.
Headset requires tools and knowledge.
Crankset requires tools and a little knowledge.
Moving the derailleurs will require that you learn about thier adjustments.
You may still need new cables depnding on the differences between the frames.