This could be an option Zazzle only authorise for a limited number of times or no more than twice a year but it's very annoying when you create a new store and some of your products are better suited for this new store. But you can move them, the only solution currently is to customise them and assigned them to the new store. But this process duplicates the products and it doesn't duplicate user interaction such as likes and rewards you get from Zazzle like "editor's pick".
