I’ve watched a few coyote pr’s dig/clean out a den hole in my time. The male does most of the digging as the female sits nearby. Those diggings generally occurred later part of December into mid January. I believe dispersal/scattering of the young. Is triggered by when the adult female comes into heat. One older pr of coyotes I observed over 2 Winters. The female had 5 pups those yrs. The pups were gone from their parents territory. Both times, during the 3 rd wk in December.