Jester,
I haven't gone through a move myself, but what I have seen here is to use garbage cans (new seems like the best bet) to hold the contents of the tank during the move. When you consider that you have about 480 lbs of water, 80 lbs of rock, plus sand, the tank, and stand, it's a pretty substantial amount of weight to move.
I'm not sure about the plumbing issue under the tank, but it would seem that moving the tank and stand together could result in cracks/leaks. Again, I've never done it, so hopefully you'll get some other responses here. Also, if you haven't already done so, try searching. I'm guessing there's at least one post that might give you some more ideas.
Good luck,
Jeff