Black pepper mites are a common name for several species of bird mites. Your first step is to find and remove the old nest where the mites are breeding. They can breed in a rat or squirrel nest as well.

Once you have disposed of the nest, a very thorough cleaning of the infested area will get rid of the surviving mites. Thorough includes vacuuming the curtains, washing the walls, and laundering cushions and pillows.