Abstract: An air-cooling system cover system for enclosing a child or pet carrier or stroller and cooling the enclosed air. The system includes a cover configured to be secured to the carrier or stroller and provide enclose a space to be cooled. The cover is connected by a hose to a cooler holding cooling material, such as ice or an icepack. A temperature-controlled fan on the cooler is configured to draw cool air from within the cooler and discharge, through the hose, the cool air into the enclosed space. A temperature sensor is disposed in the enclosed space to sense the air temperature therewithin. Based on the sensed temperature the fan is off or on. An audible alarm alerts if the sensed temperature is too high or too low for safety.