There are a few unknowns here in your proposal that need to be addressed before we can give much of an intelligent answer.
IMO, hauling water sucks any time of year, but especially in winter. Whenever water stops moving, EVERYTHING will likely be frozen solid within 10 minutes. But it can be done because I have done it. Didn't like it, but did it because I had to.
Keep all hoses disconected and drained when not in actual use. A thermos of boiling hot water is an absolute must have with you to thaw plastic tank valves. Plastic does not take kindly to brute force. Trust me, I speak from experience
If you are in a temperate climate and seldom deal with sub-zero temps though, winter water hauling "might" be tolerable.
Then there's the volume of water and the capacity of your transport system to consider. My methods would vary depending on the number of cattle needing water, and the means of transport. I used both a 1500 tank in my 2 ton truck, and a 400 tank in a 3/4 ton pickup. Both served the purpose.
In temperate months I have been known to park the 1500 gal tank with a garden hose float and leave it set there for a day or two with relatively few cattle drinking on it. The 400 gal pickup tank I wanted to unload and go back for another load if necessary. A mostly empty 8' round tank would hold 400 gallons.
i assume your winter operation will preclude any float setup, and also water supply needs to be adjusted to the need. Otherwise you are just making yourself extra work dealing with tons of ice.
Edit: After reading follow-up posts made while I was typing, I see my post doesn't jibe with the situation as I visualized it
So here's my revised :idea:
If your well is good enough, could you roll out some small diameter HDPE pipe on the ground and let it run a constant trickle? 3 cows and 10 calves are just not going to take much water in winter, especially if that grass stays lush and green under a couple inches of snow.
Again I'm making a guess as to just how far "10 minutes" from your house is. Makes a big difference if you are on an actual road or not. 10 minutes down my gravel road could get me 5 miles from home @ 30 mph. Of course 5 miles is too far to run a temporary surface water line. 10 minutes over a rough cow trail with a load of water would get me about 1/2 mile from the house, which IMO is doable with a temporary surface water line.