Brrrr! I really dislike this kind of cold.
I normally use the plastic 5 gallon chicken fountains. When it gets this cold I switch to the rubber livestock bowls. We made 2x4 frames for the bowls to sit in so the birds can't flip them over. Don't want wet birds in this cold.
I close the coop door at night and sit feeders in a tall metal can to help prevent mice. I do this daily. So when it freezes, I empty the water bowls too.
Next morning I take 2 jugs of water (room temp) out to fill bowls, put out feeders, open pop door. Then back inside for hot coffee! Later I go back to top the bowls off and do any other chores.
I use gallon vinegar jugs for carrying water and fill them each night. They sit in my laundry room by the back door. Ready to go.
I have had the bowls freeze solid over night. It is extremely rare for it to happen in the daytime if I fill them in the morning.
If I forget to empty the bowls at night, they are easy to twist like an ice tray. You really can stomp them too!

They are pretty cheap and last years. I do recommend wedging them in or a wood frame or something so the birds can't flip them.
Freezing weather is a pain. Thankfully for us we only get a few short episodes like this per winter. I saw 60-70 in the 10 day forecast.
With the drama playing out with Joel and Samuel, I would also suggest 2 water bowls and 2 feed stations. Want to make sure both can eat and drink. Hopefully they will work things out.