If you raise meat rabbits (or any other livestock for that matter) sooner or later you are going to have to deal with getting that animal from the pen to the freezer. Admittedly this is not the most pleasant part of raising your own meat but it is necessary.
There are several ways to dispatch a rabbit. My goal is always to have the animal suffer as little as possible. I made a short video to show how I process rabbits. I will warn you that it is graphic but hopefully if you are new to the task it will serve you well as an instructional guide.