If you live in Dolores it looks like the reindeer pull the Galloping Goose. I'm not sure how they get to places without tracks, but perhaps they have a way. (This Galloping Goose #5 carried mail, freight, and passengers in the San Juans from 1933 to 1949. It was easier to maintain than a steam engine... though clearly now it needs reindeer help for mobility.)
In Cortez apparently they have substituted reindeer with Toyotas:
A wee tiny elf left his stocking at my house. I hope his toes aren't cold.
Regardless of how Santa gets around in your town, I hope that you have a wonderful holiday weekend with your loved ones.