Welcome to AA! I have done this type of thing before, years ago. I moved from Virginia to South Florida, about a 16-hour trip, with my fish in Igloo coolers. I had an old crummy car and there was quite a bit of sloshing around due to the bumpy ride, but I think that actually helped matters and kept the water aerated. I am assuming you know how to secure your tank itself for the move, but are concerned about the fish and the other contents of the tank.
I would line some large rubbermaid type tubs with contractor cleanup bags (heavy, heavy duty plastic) and put your gravel and decorations in them, and the fish in coolers. You can get battery powered air pumps used for keeping sport fish or bait fish alive at a sporting goods store, or the
LFS, and I would use those for the fish, and they really ought to be fine assuming you make your journey as quickly as possible. I am not sure, but your biobugs may or may not survive the trip. If you had tons of room on the moving truck I would get large new trashcans and run battery powered pumps in them with your gravel and filter media and fish in together, so the chances would be better for avoiding a cycle when you reach your destination.
You need to check the water conditions of your new location, and see how they match your current ones, and adapt the fish slowly. Bring as much of your old tank water as you can in 5-
gal jugs or whatever you can find. Also, this goes without saying, but be sure wherever you set up your tank can handle the weight. I am sure I have left something out, but you should be able to swing it! Good luck, and let us know how it goes!