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Picasa is Google's exclusive photo sharing website. Like Flickr and Photobucket, Picasa allows you to upload large amounts of photos for free. Picasa photo organization works by allowing users to create albums. From there, you can specify the privacy level on each album. Thus, you could choose to share some of your albums if you'd like, and create a private backup album of all your photos. You can use your existing Google account to login to Picasa, which is pretty convenient. There is an official Picasa page that tells you how to set your albums to private.