If you don’t have your own server to run an image-gallery, you’ll have to divert to gallery-service-providers. Most of them have very limited storage if you don’t want to pay anything. Care2 Connect (currently in beta) has a gallery-service with unlimited storage. At the moment they’re hosting over 1.3 million images!
Care2 Connect runs the Gallery software, that’s how I discovered them: I’m about to upgrade my Gallery to the latest version. Gallery has a remote Java application that enables you to bulk-upload (and other things) your pictures, that’s why I choose Gallery over CopperMine.
Gallery update: done. View here.