Maybe something like this?
http://youtu.be/TvrUrnEIQoo
Moving it is going to be a trick if you build it all in one piece.
If you really want it all in one piece, you might look into building it into an IBC pallet frame. They usually have a 275 gallon plastic "bladder" for liquid transport, so can take a lot of weight. It would take a forklift, or maybe a crane to move it, and I would say you are still taking a chance on cracking it.
I would suggest the best strategy to be able to move it is to build it in as many individual pieces as is practical, probably two.
I have seen a youtube
video that used a
rocket stove and put it under a small cob oven built on a table. Separating the two pieces would give you a MUCH better chance of being able to move it, and if you broke one, it would be easier to rebuild than having to do everything over again.