Transfer iPhone 5 photo library on to a Network Storage Device I'm running out of space on my iPhone and would like to transfer my iPhone photos to a NAS and then delete them. I like to view my pictures from NAS via an app.

Can somebody recommend a good NAS and app that can help me achieve that?
Instead of using a local solution for your media, you could consider using Dropbox. With Dropbox you can stream videos, photos, and even use it for storage. You get roughly 2 GB for free (more if you refer users), but if you need more space you can easily upgrade your account, for a fee, to the Pro version which provides much more storage.