With this week's surprise announcement about Google Reader closing down at the beginning of July, it marks a good time to point out the easy way to switch from Reader to FeedsAnywhere.
1. Create a FeedsAnywhere account
2. Go to the Settings page
3. Check Google Reader Syncronization
You'll be asked to authorize access and FeedsAnywhere will start syncing your feeds. The process is simply and since it uses OAuth you won't even need to provide a username and password.