Before the move
Consider the distance of your move and the climate at your new home. If you cannot provide safe transportation or if the climate will be unsafe for your flock, consider finding them a new home in your area and obtaining new stock at your new home.
Set up the new coop before moving your flock so that you have somewhere to safely deliver them. They will need a secure coop, protection from weather, a roost, a feeder and waterer, and a nesting box at the very least.
Set out your boxes and cages the night before the move. Make sure ahead of time that you have enough cages for all of your birds. They should have ample room in their cage, ideally only packed with two or three other birds. Use cages or cut holes in cardboard boxes.