The invention is an umbrella-like canopy assembly and the container in which it can be stored. The resulting apparatus can be secured to a hand-controlled mobile carrier. The canopy assembly can be moved from a storage position within the container and then opened to cover, in the least, a portion of the container and preferably one or more areas designated by the user of the mobile carrier. With the apparatus secured to the mobile carrier, for instance, the user and also preferably the contents of the carrier can be shield from the sun and other environmental elements (e.g., rain, snow, and wind). The main parts of the apparatus are the canopy assembly, which is attached to the inside of the container, and means for securing the container to the mobile carrier.