It should look like this:

  Since you may know how to draw the chibi character, the chibi animal is important as well. It is quite similar to the chibi person, but tweaked a bit. So, I will explain how to do it my style,in simple, steps!First, draw a fat "U" shape which shall serve as the base for the head. The bottom of the "U" should be flat towards the bottom. Next, draw the ears which are just curved simple triangles. Draw the top of the head with an arc.
  Next, draw the eyes which can be cute, small dots, or like regular manga eyes. Make them big and expressive taking up most of the face. Draw a smooth, round, rectangle  as the body and stub like "U" as the paws as well. Draw a triangle through the center of the head near where the guidelines meet, and a "W" shape which serves as the mouth,draw the tail in whichever way you prefer, whether it is "S" shaped or something else, and you are done! Feel free to tweak it whichever way you want!

this is the end result~