I'm no expert but I suggest looking into tutorials for animating stuff in Photoshop on YouTube 'cause I guess that's where most of the animated gif making is from.
Alternatively, you could edit it into a video and then convert it to a gif. Which is what I did and the result is the sig I have on now.
Another alternative perhaps is to look into the
Programming, Development & Art section probably ask for help there or even look into the resources/tutorials/guides there such as
Wallpapers and Photoshop tutorials Thread,
Fan Signature Templates, and probably more.
Probably not what you were asking for but you could request a signature done for you at the
GFX Request Thread.