Disassemble your bird feeder as much as you can, if it has multiple parts. Some bird feeders are simply elongated plastic tubes, so this step isn't necessary, but take apart more complicated birdhouse/feeder combinations with the aid of a screwdriver and a hammer. Wear protective gloves to help prevent injury.
Separate the bird feeder components into groups of similar materials, so you have piles of wood, plastic and other components of equal composition.
Take the materials to a recycling center or separate them into the appropriate bins at home if you have a recycling pickup service.