A frame assembly for a customized carrying bag includes a frame that defines a periphery and an interior compartment. The frame has a top, a bottom, and a pair of opposite sides that extend between and interconnect the ends of the top and the bottom. The frame may also include an upper rear flange adjacent the top and a pair of lower rear flanges adjacent the bottom and each of the sides. A plurality of frame brackets is secured onto the top, the bottom, the sides, the upper rear flange and the lower rear flanges of the frame. One or more connector pieces are attached to certain ones of the frame brackets. An accessory component, such as a pair of straps, a strap, a handle and/or an extensible handle, is attached to the connector piece so as to create a customized carrying bag.