In edit mode, you can hoover over a piece and press LL key to select it. Or select a vertex and press Ctrl LCtrl L to select all linked geometry (it can be limited by seams, or materials, or others options, in the black little window that appears in the bottom left of the 3D view, called "Adjust last operation").
In case of more difficult situations you can assignselect some vertices and press Ctrl G to assign them to a vertex group, that you can later select and deselect when needed).