As long as you register your email address before changing devices, you'll be able to log in and access your album on your new device. To register your email address and password, go to the Settings tab and tap "Email Not Registered". After installing the FamilyAlbum app on your new phone, open the app and tap "Member Log In". Use your registered email address and password to log in on your new device.
If you've already switched devices and are having trouble logging in, please visit I can't log in to my FamilyAlbum account. What should I do?