I have a 5-gallon bucket in my big coop and a two-gallon bucket in my little coop. Both are hung by the bucket handle with chain. The chain is suspended from a hook attached to the ceiling, and the length can be adjusted with an S-hook. I made sure that the s-hook, chain, and hook were all rated to hold enough weight.
I also sometimes will put a nipple into the bottom of a washed-out vinegar or orange juice jug (thicker plastic). I hang it by the jug handle from the same chains. The problem with this is that you can't get in to wash it. I just unscrew the nipple, wash it, and install it in a new jug as needed.
For the winter, I take the buckets inside for the night and back out again in the morning. Inside, I set the bucket
on top of another bucket without a lid as to not push against the nipple. The only time I had an issue was a couple days when it was so cold that it was below freezing in the coop during the day. In that case, I put heated water into the bucket before bringing it out in the morning, and my husband added more hot water a bit after noon. (I am lucky to have someone home during the day.) This has worked for us so far, but if we couldn't do this, I'd probably run an outdoor extension cord up to the coop for the few days of the year that get this cold and use a light bulb near the waterer to add some heat and light.
Have fun!