I am in what is the southern United States, freezing isn’t rare but it’s not continuous either. I’m sure that those that are farther north have better methods for taking care of livestock but here are a few ideas.
My chickens have electric water heaters mostly because the volume is small, small volume equals quick freezing.
Many people want portable chicken coups but if you do have a portable coup powering heaters may be a problem if you live where it freezes. I would also consider lighting in winter months, I run lights until 9:00 pm or so because it most definitely effects egg production. Two reasons to have electricity to your coup regardless of whether it is a portable chicken coup or not.
My horses are not where I can get electricity so dealing with their water is a challenge. Since it’s 140 gallons it freezes a bit slower and I can use a sledgehammer to break the ice.
This week however we have 4 days of the week with the lows in the single digits. When it is this cold if I can I give them water in a bucket from the house.
Obviously this won’t work if you have many animals or can’t keep rotating buckets due to time.
Keeping hoses drained is very important, if you can put water in the water trough it will melt some of the ice and give more mass to the container slowing freezing.
My property slopes slightly so draining isn’t hard but even then I had some ice in the hose that formed in a depression I neglected. When I got the ice cleared the horses appreciated the water.