Until you think of what you want to do with your strips, I keep them nice and neat by:
Rolling them up and anchoring the end with a straight pin. I then put them in a clean plastic (clear) gallon jar. They stay neat and flat and won't be a rat's nest, needing to be ironed when you want to use them. You can see what is in the jar and I like seeing all the pretty material on my shelf.
I shove them into a jar. I really should do this-roll them up and pin. Thanks for the idea!