After our big moving party for part one of chicken coop moving, we decided to not exhaust our social capital entirely on part two, and moved the other half of the chickens' home using the power of physics! It helped that the run is on the ground, so we didn't need massive amounts of manpower (or ladypower) to lift it.
My dad gave me a pair of giant pry bars when I bought this house. So far, I've mostly only used them to smash the ice dams that built up the winter I didn't roof rake. Definitely not the recommended practice: ladders plus ice plus crow bars. It was lovely to use them for their intended purpose this time.
The theory: use the pry bars to lift up the corners of the coop. Place 2X4 rails under the coop, going the direction we want to move it. Lift it up a little bit more and put 2 inch PVC pipe rollers in place. Push.