However is it smart to Riggin a character before Texturing It. I am curious about this?
No, you texture the model before binding. Anything that's added on afterwards has to be calculated per-frame, instead of just once. It may also cause texture drifting, and a whole bunch of other nasty problems. The model, and textures should be 100% complete before rigging. You may however modify the shader after rigging.
Imagination is more important than knowledge.