The key to invisibility, little Luna, is to choose a surface that blends with your fur, install yourself on said surface, and stay preternaturally still.
See this blanket? It has black stripes for me and white and gray stripes for you. Now we are invisible.
Ummm, Uncle Darth? I think you may have forgotten that Woofies see through their sniffers.
–Darth Vader and Luna