Moving photos from one album to another has become a little more difficult in the new Facebook timeline. Here are step-by-step instructions on how to do it.
1) First, decide on which album you want to move the existing photo out from. You can see the full listing of your current albums by clicking the “Albums” link next to your name (see image).
2) Next, click the album where the image currently resides. In my case, I am moving an image out of the “Mobile Uploads” album and into a new one I have created.