If you hunt solo, than the above will work out fine. If you have a group of say 3 or more, you can set up a shooter out front, and walk to him. Of course the shooter(s) should go around the cover that is being pushed. At JLMBH we usually divide the group in half or so, half are drivers half are shooters. It works out so that about half the shots are taken by each group.
They are very hard to hit on the run, but it can be done, especially if you practice moving targets on a regular basis.
Another tactic I use when Im solo is to get out during or just after a fresh dusting of snow. I creep along the hedgerows and scan for em under brush and rose bushes. When you locate one, you can usually move enough to get an open shooting lane.
Hope this helps. Im by no means an expert. If I was I would have more arrows and more bunnies in the freezer.