There are two common mites for chickens, also lice. The Northern Fowl Mite (mainly lives on the chicken), and the Red Mite (chicken mite) which mainly lives in the cracks/crevices of the coop. It comes out at night to feed.
http://ohioline.osu.edu/vme-fact/0018.html
chart at bottom with descriptions
http://edis.ifas.ufl.edu/ig140
newer link for approved pesticides
It sounds like it could be lice or mites from your description. From my experience with the Northern Fowl Mite, you would have bite marks on you by now if you were holding your chicken inside the house. You would be itchy and feel like bugs are crawling over you.
If lice, they eat the feathers/dander and are poultry-specific (don't bite humans at all or live on us).
If the Northern Fowl Mite, they DO bite us but will die without poultry. They don't actually want to bite us. They only bite to test and then out of desperation. Sadly, it can take three weeks for them to die, so they wander around your home and occasionally bite you (take showers, vacuum, and change sheets to end the biting sooner). This I know from personal experience.
The red mite is the one to NOT get in your home as it can live for 9 months with no blood meal. The literature I have read written by extension specialists (scientists) say that they will NOT live forever on humans, so your home would eventually be free from them. There are a few scary websites on internet that state that the red mite will live on humans indefinitely. I have to believe the specialists. These are the stories you read on internet about a bird's nest outside the window with an air conditioner unit in it, and the numerous mites invade the home. Then an exterminator comes.
But that is the reason I always try to tell people to spray their coops with poultry protector or something to make it less friendly for bugs to live in the cracks when they dust their chickens for mites/lice.
Dust all chickens with a tied-off sock filled with poultry dust under wings, vent area, and everywhere except the face (I turn the chicken on its back on the ground to get everywhere). Toss all shavings in the coop. Repeat in 7 days (and keep repeating until bugs are gone). Don't forget to spray the coop. They sell liquid permethrin you can dilute. I try to use poultry protector a lot to be less toxic as I don't have red mites.
DE is a preventative, and I don't recommend it for an active infestation. Mites can kill chickens.
By the way, DON'T use permethrin dust or spray inside your home!!! You won't need to treat your home as far as I know as they will die anyway. But vacuuming helps enormously. As does changing clothes/sheets/washing them.
If you feel at any point (ever) that you have a home infestation with bugs always contact a professional exterminator.