A carrying system is releasably attached to a vehicle such as a tractor, zero turn mower, ATV or UTV, and includes a flexible storage basket and optional accessories for retaining a variety of items including tools and materials. The flexible storage basket pivots downwardly for use, and upwardly for storage. The carrying system includes a column that releasably engages with a hitch assembly of a vehicle, thereby allowing the carrying system to be put onto and taken off of a vehicle fairly quickly and easily.