Here is a picture of the little bunnies that I have knitted for my grandchildren. Thanks, Aquaria (http://www.knittinghelp.com/knitting/forum/viewtopic.php?t=26763) for the inspiration. I love your little carrot, but I did not have any orange yarn in my stash. My tails are made from fun fur. I just knitted a little square, gathered it around the edges, and sewed it on -- no need for any stuffing.
My tip: After blocking the knitted square, use safety pins to mark all the points (A, A', B, B', etc.). The safety pins will stay in while you gather and stuff the head.