Facebook Photo Sync feature is now available to the Android and iOS client apps. If you used them just recently you should have already got a notification about the new extra.
It does exactly what the name suggests – automatically uploads your captured photos to a private album on Facebook. You can share them with your friends later if you want.
In case the feature is still missing in your client, just have a little patience – it will pop up eventually. I personally prefer Dropbox for my photos upload and will pass on Facebook’s offer for now. It’s not the easiest way for organizing, editing, resizing and even sharing, and I still have my reservations regarding Facebook’s privacy policies.