They look adorable.
I just made carrot cake too. My recipe calls for you to add pureed cooked carrots into the batter. This seems less work than grating the carrots? If you think you may be interested, let me know and I'll put up the recipe. It was very yummy and moist. There was coconut shreds, walnuts, and crushed pineapple added. Not sure if you're adverse to any of those ingredients. I didn't add pineapple into my cake and later found out from a friend that pineapple makes carrot cake absolutely great.