Put the body of the bedside table at the desired location. It will be easier to move before it is fully assembled since it will be lighter at that point.
Attach the hardware to the drawers before putting the drawers into the bedside table. Usually, the hardware has a rod which is inserted into a pre-drilled hole in the drawer's face piece and a screw that goes in from the inside of the drawer. Use a screwdriver to tighten the screw. If your bedside table doesn't have any drawers or the drawers it has do not require hardware, skip this step.
Insert each of the drawers into their designated space within the bedside table. There is usually no order for drawers when there are multiple drawers. If there are no drawers on your bedside table, skip this step.