A barbecue grill smoker assembly (10) is disclosed including fuel grate handles (21) and food grate handles (31) connected to components internal to the cooking chamber of the grill smoker defined by the firebox base (11) but extending outward beyond the cooking chamber in order to allow for manipulation of the components within the grill smoker using clean and cool handles. The grill smoker assembly also includes a fuel grate assembly (30) in the form of a basket that, when combined with the food grate assembly (20), the solid fuel is contained within the area defined by the grate. This enables the fuel to be managed by manipulating the food grate assembly (20) and fuel grate assembly (30). The fuel grate assembly (30) may also include an aperture to facilitate transfer of residual solid fuel to a charcoal starting device. Finally, the lid (12) features lid supports (14) which are used to support the lid when inverted allowing the lid to be stored without soiling the table during the lighting of the grill smoker, cooking on the grill smoker and for storage of the internal parts during grill smoker cleaning.