Open the drawer and empty its contents. The drawer handle hardware screws in from the backside, so you need clear access.
Using a Phillips screwdriver, remove the one or two screws holding the drawer handle in place. Turn the screwdriver toward the left to loosen the screws. Remove the old hardware.
Put the screws from the new hardware through the holes in your drawer.
Line up the new drawer pull with the screw, and use your fingers to begin threading the screw into the handle.
Tighten the bolts completely with the screwdriver by turning the screws to the right.