Cupcakes should be stored at room temperature. Cupcakes are good for 3 days after delivered.
If you will be consuming the cupcakes more than 24 hours after delivered, you can freeze them. In freezer they are good up to 6 days. To thaw them, leave them at room temperature for 1–2 hours before they are to be served. NO need to refrigerate, as it will make them dry.