Bag your filter media the same as fish; 1/3 water, 2/3 air. Fast smaller fish for 24 hours before bagging, larger for 48 hours, less food means less waste produced. I bag fish for auctions using half tank water, half fresh water treated with a 6x dose of a dechlorinator that neutralizes ammonia. This will neutralize ammonia for up to 48 hours, 24 hours bagged for auction fish is not unusual at all, with no losses. For plecs or corys, as well as larger fish consider double bagging, as they can puncture a single bag. A cooler or styro for the bags of fish maintains temperature, the darkness helps keep them calm.
I'd empty everything out of the tank before moving, completely empty. Tanks are designed to be stable when filled without moving, moving with wet substrate puts stresses on the seams that the tank was not designed to take. You don't want a leaking tank at the end of the journey, or one that starts leaking soon after the move. Buckets work well for substrate, with a large enough bucket there is often enough room for the decorations on the top.
Remember the tank is made of glass, a secure location for the move, as well as a bit of padding is cheap insurance. It mat be tempting to put some household items in it, light soft things such as towels are fine, nothing hard or heavy in case there is any jarring.
Don't forget to acclimate the fish to the water supply at the new location, feed lightly for the next week, this will compensate for any possible loss of nitrifying bacteria. Consider having some extra shims on hand for leveling the stand, the floor at the new place may be a bit more out of level than where the tank is located now.
As far as personal experience, I have a 72 gallon tank I got for free, cracked center brace due to being moved with substrate, a bit of water & fish. It stays in the basement, where there's a floor drain. Being a lifetime member of my club I'm usually involved with the taking down, moving, and subsequent selling of fishrooms when the member is no longer able to care for them due to personal situations. Off the top of my head tanks I've picked up from various sources over the years include twenty 15 gallon tanks, a dozen or so 40 gallon tanks, most recently a couple 100 gallon tanks for a friend. Some of there were quite a drive, my truck gets a workout where tanks are concerned. I know there's more over the years, the 30some tanks in my fishroom came from various sources, as well as the empties that my wife may or may not know about.
With proper preparation moving a tank doesn't have to be a mad dash to get the fish back into a tank, and it shouldn't be, as there are a lot more things involved with moving beyond the fish.