You can move them around, yes. (I think it looks for them in the screenshot folder.)
However, you can't always load old ones if a tailor change happened in the meantime.
[Louis Cipher][Outta Gum][Thysa Kymbo][Spanner][Frakk]
Joined October 2009. READ BEFORE POSTING
Yes, Tailor saves are just JPGs. You can move them around, or share them with friends.
of course what im sure you meant to add was that you have to have the costume parts unlocked before you can use other peoples saves containing those parts eg omega/khg uniform and special parts such as skirts or clothing from the lobi store.