Google is sunsetting its Reader service in July and you may be on the hunt for a new RSS service and client to use. Before you fire up that new client, you should take a few minutes to backup your current Google Reader feeds as you may need to import them into your new app. Importing your feeds will be a lot faster than manually re-subscribing to each one. It's also a good idea to have a copy stored locally as a backup.
Here's what you need to do to pull your feeds down from Google Reader: