You will need a whole bunch of cardboard boxes. Liquor stores especially the big box 'warehouse' type stores usually have lots of them that you are welcome to take.
You also need a huge bag of styrofoam peanuts, this is really the best material for built models. this can be had at "the UPS store". lastly you will also need a couple rolls of wide masking tape.
Small bits will inevitably break off in transit. vehicles and tanks can be put inside plastic grocery bags before being immersed in peanuts, to keep stray bits from getting lost in the peanuts. Accept that minor repairs will be needed when you finally get to unpack.
you will also need someplace to stack the boxes. you might rent a storage unit or a friends garage? I cant advise you there.
Sounds like a boat load of work ahead of you. best luck.