It’s important to learn how to wrap a stroller for a baby shower when you plan to gift a stroller on the occasion of a baby shower. The large package can lead to a gift-wrapping battle, as a stroller is a common and attractive gift for a loved one who expects a baby. To ease packaging woes and to avoid spending time putting the item together in case the new mom and dad decide they want a different model or receive duplicate presents, keep the stroller in the package.