Please use the flair list names from the link above in the request below to expedite your request.
If you only want one rabbit as your flair, you can choose it when logged into the desktop page on /r/rabbits. You should see a checkbox on the right sidebar to 'Show my flair on this subreddit.' Use the edit button next to your username below that line to select a rabbit flair. You may continue to request a unique rabbit in the request box below if you cannot find a rabbit like yours in the list.