I used to move all the time. I found moving a tank to be extremely stressful for me (cost, livestock well-being, etc). Moreover, I was doing freshwater at the time.”, so that was even easier than reef tanks. I’d generally sell my tanks and livestock and keep any higher-end or easy-to-pack equipment (maybe a few of my rarer plants).
Then, if I was at my current destination long enough you setup a tank, I’d usually pick up something used (which means cheap and you can usually sell it for about what you paid prior to the next move).
I’m just getting back into reefing after 10 years hiatus for the reason that I’m not going to move for a good long while now. If I was going to move soon, I’d really struggle to motivate myself to do something as long-term as a reef tank. I am sure someone else out there is a as committed as you sound and moves frequently. I’d love to hear their experience.
if you’re dead-set on moving the tank itself, I would build a 2x4 frame/crate for it. I’ve never done that for a move, but I’ve done it to transport large tanks I’d purchased. Livestock can probably be packed the same way it is when you purchase a fish or coral online (large bag, styrofoam box with a heat or cold pad, maybe some meds for ammonia burn if they are going to be in there for awhile, etc). I’ve also transported fish a long while in a bin with a battery bubbler on it as well, so there may be something you could do there.