I will just start out by giving basic instructions and then you can follow along on the pictures that show what colors to use and what areas to use them in.
You want to make sure that you stamp your image with a brand that works well with alcohol inks. I use Memento's Tuxedo Black and then set it with my heat gun for good measure. I personally always use the pointed (brush) end of my Copic Markers for more control in smaller areas. I always start with the darkest shade first. This is the shadowed area. My imaginary light source is in the upper left hand corner this time so the darker shading will be on the right side and under overlapping body parts. The lights and darks in the shading give the image a more dimensional look.
The rest of the colors will be used in decreasing color value also. For instance I used 5 colors on the brown part of the bunny's fur,darkest to lightest. You will also want to overlap the previous color so that the lines are blended out. I sometimes use straight lines when blending but usually do tiny circles. It really depends on the size of the area and how much color I want to "pull " out.
Then you can hop on over to my blog and see the other samples I have done with this stamp. While you are there, don't forget to mention that you saw my tutorial on Lori's blog!.