How far are you moving, Kimo?
I recently moved 4 axolotls from Glasgow to Halifax (300 miles approx). I had all sorts of grand plans about keeping filters running etc, but in the end it just became too much work and too risky to my car interior!
The morning of the move (9am?) I popped each axolotl in a 'tupperware' watertight tub with clean, dechlorinated water that I picked up from Sainsburys, and put the axolotls in the fridge while I took everything out of the tank. (The lady who came to do the flat inspection nearly passed out when she checked inside the fridge!)
I had two polystyrene boxes from some meat we had transported, so two axolotl-filled tubs went in each box, which had ice packs on the bottom, a layer of bubble wrap, the tubs, more bubble wrap, and more ice packs on the top (I have a lot of ice packs), and a couple of extra tubs filled with simply clean, dechlorinated water - just in case - followed by the box lid.
When I arrived at the new place (10pm?), I swapped a bit of water out of each of their tubs and gave them some fresh while I rebuilt the tank stands, filled them, and put all their ornaments and plants back in. The plants I had kept damp in fish bags, the ornaments just dried out.
It did mean I have had to carefully re-cycle 4 tanks at the new place (oooft) but in the end, it was the easiest solution.
If it's going to take you more than one day to move, I think you need to be vigilant with keeping them very cool and making sure you have plenty of dechlorinated water to hand - probably giving them a water change every 12 hours or so.
We'd moved pretty much everything else the few days before, so only the tanks and axolotls, a mattress, and a few bits and bobs were left. They were the last, and most precious bit of the move, but it was worth the frantic morning just to make sure they were alright. I don't know if that helps any
Where are you moving from, to?