Once you've worked out how big you want your laundry basket dresser to be, you can take your plans to a Bunnings store and get the plywood for your frame and shelves pre-cut
For our laundry basket, we had our 2 pieces of 2250mm x 600mm x 30mm ply cut into:
We then had our 2 pieces of 2400mm x 1200mm x 17mm ply cut into:
Put the four pieces of plywood that make up your rectangular frame together. This includes the two 800mm x 30mm pieces and the two 1325mm x 30mm pieces. Make sure the edges are square. Put on your safety equipment. Use the cordless drill to drill three countersunk holes between the side of the frame and the top or bottom of the dresser. Use the 50mm screws to secure. Repeat this for the other three corners.
Measure the length of the piece of plywood that will run across the middle of your laundry basket dresser. In our case, this will be the two 1325mm x 17mm pieces. Mark the midpoint. Line-up the piece of plywood that will be the divider in your dresser. For our dividers, we used the 353mm pieces. Use the drill and screws to attach the divider to the other piece of plywood. Repeat this process to build the second shelf. Use the 50mm screws to screw from the bottom and use the 30mm screws to screw from the top down into the divider.
Place the first shelf inside the laundry basket frame. Make sure it is square. Secure the shelf to the sides of the frame by countersinking and screwing them together. Repeat this for the other side of the frame.
To make the dresser more stable attach the central divider to the base of the dresser. Use the cordless drill and the 30mm screws to secure the divider to the base.
Place the top shelf inside the frame, so that it's on top of the bottom shelf. Secure the top shelf with the drill and screws to the underside of the bottom shelf. If you drill on the bottom shelf the screws won't be visible.
Use the drill and screws to fix the four castor wheels to each corner on the underside of the laundry basket dresser. This will allow you to easily move your dresser around.
To make the dresser more secure, turn it over so that it's on its wheels. Use the drill and 30mm screws to attach the central divider to the top of the dresser.