Here's the final result after painting in Mudbox but I'll still go over the steps. First I chopped up the model and flattened the pieces to create the map needed for painting. You can see that result (now colored) all the way on the bottom.
Then I imported the model into Mudbox. First I cleaned up the geometry a bit. I smoothed out bumpy areas and repositioned some parts. I made the ears flare out a bit. This could have been done in Maya but it's much easier to do in Mudbox. With that done, I started coloring. Nothing too complex here. Just flat solid colors for the most part.