What kind of story (e.g., fairy tale, mystery, adventure) are you planning to tell? Drawing & Paper Folding | Storytelling Toolkit
If you want to refine your paper project, I can help you with: A to go with your paper creations. More specific origami instructions for certain characters. Tips for performing the story with your puppets.
This method involves folding and cutting a single sheet of paper to create shapes that match a spoken story, as demonstrated on Instructables . Start with a square piece of paper.