Easiest and quickest is just turn all your taps inside to run, not drip, might have a higher water bill next month but your water will not freeze.
Just look to your neighborhood creek for some help in answering the question. Creeks that have any water flowing will usually not freeze over until the air temperature gets down to around zero and stays there for two or three days. What that tells me is moving water resists freezing up to the point where the lack of heat in the ambient air overcomes even the motion of the water. It’s a relative equation. Water sources that are in underground pipes also bring along a steady 50-degree or so latent temperature from the soil which also helps against freezing as is true in the case of a creek where the water closest to the bottom of the creek bed will freeze last.