Check with your local charity shop to see if they are accepting donations of clean, good quality blankets, doonas and sheets.
Blankets and doonas can be donated to local animal shelters, call ahead to check if they want your items. Sheridan have a recycling program for non-resaleable sheet and towels.
Bedding and pillows not accepted at the above options should go in your landfill bin (red lid).
Items can also be dropped off to a local Transfer Station / Tip.