Don't just throw out those clothes! If you've purchased good quality clothing, you could re-sell it at a consignment store, list it on craigslist.org, freecycle.org, or usedvancouver.com, sell it on Ebay, take it to a local charity thrift store for resale, or donate it to agencies collecting clothing for overseas.
There are also a number of local charities that maintain drop-off bins around the North Shore, so why not ask your favourite charity if they have one. The North Shore Recycling Drop-off Depot maintains a Diabetes Association bin at the depot site which accepts clean, used clothing (wearable and good condition, please) and clean, used, wearable accessories. Also, consider donating old sheets and towels to your local animal shelter or rescue organization, as they are always looking for these items.
A few thrift store options on the North Shore are:
You can also contact the BC Recycling Hotline at 604.732.9253 or www.rcbc.bc.ca for locations accepting these goods.