If I were moving it:
I'd put fish into a bucket 1/2 full of the tank water.
I'd put the shrimp in a seperate bucket 1/2 full of tank water with something they can hang onto (plant (real or fake), nothing heavy like a rock that could crush them when moving the bucket).
Both of these buckets would be kept covered with a dark towel to prevent jumping and keep them in the dark (less stress that way).
I'd put the filter's media into a 3rd bucket and cover it so that its 1inch deep in water.
I'd drain the tank down so that the gravel is just barely covered with water, discarding this water.
Two people to move the tank, and preferably on a flat surface (I'd use a piece of plywood).
Set up tank at new location and get filter running again. Wait for water to clear up, then slowly drip acclimate fish and shrimp for an hour, filling their buckets up to the 3/4 mark.
Add fish/shrimp with lights out, and leave lights out until the next day.
OC