Sorry, plan to keep corals out of tank as short as possible. I'm guessing that didn't need to be said. Whatever you do it's a pain, I like the babysitter option where you find a friend who will keep the tank for a couple of days because you'll have enough going on and don't want to rush putting it all back together so you can go move other stuff. On the other hand, it means you'll have to move the corals twice which isn't great either.
Get tarps for you car/carpet, because no matter how careful you are, something will spill.
5 gallon buckets are optimal because they're just about the right weight without straining your back.
Don't get lazy and think you can leave rock or sand in the tank and move it together. It will just be too heavy.
Have gloves handy because your hands are going to touch everything including bristleworms as you grab rocks. There's also a good chance you'll scrape yourself on something.
Take a picture of the tank immediately before so you can remember how you aquascaped it.
Have extra fresh saltwater made in advance if possible to top off spills.
Keep cold beer nearby.