If floor space is an issue, why not use your walls? The Gorila wallmounted 6 bar holder (also called Gun Rack) is the perfect storage system for barbells, designed to maximize floor space. Make sure you take the optional plastic protection that will ensure the longevity of your bars.
IMPORTANT: The width of the brackets should be set to catch the sleeves of the barbell if there's no plastic on the rack. With plastic, we recommend to set the brackets close enough to hold the shaft of the barbell.