Its pretty easy to move the cages with the ppk.. not sure how big mine were.
You could use the four foot fencing and make a cylinder that will fit inside the top bucket...
Thats what I am doing in the new spot.
Then you can weave around the cage and tie back to the cage etc
Your plants look a lil big, you could tie them up like xmas tress and then slip the cage over, untie them and work them through. (i have done this in the past)
My old cages worked well but took up precious crawling space on the ground.
The box is sweating? are you sure its not condensation?
Seems like a truck box should be water proof.
What are the dimensions of your room again?
the room is L29'1''xW9'2"xH7'. i gained 7" vertical by removing the caddies so i have 67" of vertical plant room.