Our mite infestation happened in the summer. The cleanout included a bonfire to burn away the wood and wicker parts removed from the infested coop. We then washed everything, dried and dusted the new pine shavings too. Our new nestboxes are plastic tupperware, the hens love them. The wooden walls of the coop are dusted, too. I know, risk of cancer vs sickly mite infested birds....but our birds have been healthy and fat ever since we got away from the mites. It only took a couple of days for them to "pink up" and put on weight.
Oh, we also bathed and dried our chickens with dog flea and tick shampoo, diluted. But we only had 4 chickens to wash, I don't know if it would be realistic for you, depending on what you have. It takes about an hour to blow dry each chicken (I have some kids to do this). When wet, we found one chicken was scabbed from the mites, we treated the scabs with ointment from the vet (totally cleared up in 3 days).
I foresee a Cold Day Cleanout could be made more enjoyable with a bonfire nearby.
Wear a snug hat to keep you from getting cranky. Cold = cranky.
Pre make thermos' of coffee and chocolate.
Have great soup in a crock pot for frequent warming breaks.
Have Bailey's, Bushmills and Jaegermeister ready for the end of the day. (Let a 3rd grader mix the coctails and kiddie coctails, they love to measure and stir! they'll be so proud! I recommend a whiskey sour, with a fresh egg for the frothing)
Make sure a hot bath or shower is attainable after you're all done.
Herald in the end of this cold, cold winter with a thera-poo-tic scooping away of this winter's troubles.