Use a set of drawers that are as deep as, or shorter than, the depth of the table as a practical base. If you have drawers with castors, make sure they have locks or don’t screw them on.
Place rubber pads from a hardware store between the drawers and tabletop to prevent sliding. Try using a cabinet instead of drawers.
Side by side A long tabletop and combo of drawers and cabinet (from Ikea) creates enough space for two.