We have food and water in the coop. In the summer, we also have water in the run and out in the yard. I like to make sure they drink enough when it's hot, so I make it convenient for them.
If we had food in the run, it would get wet and preventing mold would be constant work. Moldy food is dangerous. We'd also have mice, chipmunks and wild birds eating it. Nobody bothers it in the coop.
We also have electric in the coop, so that's a good place to plug in, to keep the winter water unfrozen in the winter. When the weather is really, really bad, the chickens can be inside the coop and still have food and water.