Ahh, that challenge!
Couple of options, check out AFV websites for a lot more ideas.
For completed based models, I've seen some people screw the base to the lid (lid upside down), the lay a empty shopping bag (plastic) around/over the model - smooth surface, so you wont end up (or will minimise) rubbing marks. (wrapping papers have 'toothed/ textured' surface, so it acts like a fine sand paper)
things like aerials, well, dis mount them first.
Once done (and I am presuming the AFVs are stuck to the base!) you can then pack it, place it for a short while in its matching box model upside down, lid right way up.
tape together, then invert. Repeat.
simpler way (if large supply of plastic crates with matching lids can be found is to bag the models in shopping bags (minimise rubbing, find lost bits) is to use slightly oversize packing boxes. If you are doing the moving of said kits, easier, you'll handle them delicately.
Lots of loose packing material, ye olde scrunched up newspaper, and lots of it.
Really treat as a very fragile part (we all know, not all movers do though) with the extra steps of bagging it.
Hopefully this will minimise travel bruising to a minimum.
Good luck with it all!
Cheers