I do not keep food or water in the coop. Both are available for them in their pen. Unless it's raining then I put the food in there just to stay dry and remove it when I lock them up at night. Ducks and geese will make a horrible mess in the coop overnight if food and water are left in there.
I don't heat their water because I'm home all day and can take out fresh water to them if needed. When I lock them up I dump the old water then supply fresh water when I let them out in the morning (especially so I don't have to chip ice). The water is in a heavy duty black livestock feed bowl (holds about 6 gallons of water) so the sunshine will keep it from refreezing. But if the temps get so low that it should refreeze during the day I'll check on it and bring out more water if needed.
If you are not home to check on them during the daytime if temps are below freezing then you may want to check into a heated waterer. This one can be used outdoors
Here is another style but I read on another site that this type is recommended to be placed in a sheltered area (but still would not put it in the coop with ducks or geese)
I have chickens too but they are in a separate area of the yard. I apply the same feeding / watering practices with them as I do the ducks and geese. Currently my chickens have a hanging waterer that will be changed to a black dog bowl when the daytime temps reach below freezing.