I just moved a 10, 29, and 90 gallon tank 2 months ago when we relocated from our condo to our house. Alot of the above suggestions all worked for me...
First... take your time and don't rush.
We had LOTS of tubs/buckets (WITH LIDS!!!) for taking as much water with us, put the fish in the buckets, plants, rocks, wood, etc.. Everything stayed damp for the most part... my plants took a bit of a beating and died back a bit after settling into the tanks at the new house. The swords most of all. Bacopas' went black and had to be thrown out. Java ferns looked happier than ever...
Kept filters full of water as suggested. Removed as much of the gravel/sand as we could from the tanks. (we ran out of buckets! and double bagged trash bags were employed...)
Most of the fish survived. Lost a gourami, and 2 small angels, and one small bala.
Two months later, all plants are growing happily again after having alot of the dead stuff hacked away.
Oh and I don't know how coincidental it was, could simply have been the different water at the house from the condo, but I did have a huge green algae explosion on the glass a few weeks after the move. Its since been cleaned and hasnt come back. Adjustment/chemical realignment of some sorts?