To make this job even easier you can have the plywood for the shoe rack frame and the shelves cut to size at your local Bunnings store.
You will need the following lengths:
(2) 800 x 300 x 30mm
(2) 450 x 300 x 30mm
(1) 300 x 390 x 17mm
(1) 300 x 550 x 17mm
Line up the four pieces of pre-cut 30mm plywood so that they're in the rectangular frame shape of the shoe rack. The long lengths of ply are for the top and bottom and the short pieces for the sides. Make sure the edges are flush. Pre-drill holes for the screws and countersink them. Drill multiple screws into each corner of the frame, so that it's secure.
Using the 300 x 390 x 17mm length as a vertical divider for the shoe rack, mark off halfway on both sides of the plywood. Line up the horizontal 300 x 550 x 17mm shelf on the marks, making sure it's square. Pre-drill and countersink two holes, securing with 30mm screws.
Turn the shoe rack over so that it's on its side. Insert the attached shelf into the frame of the shoe rack. Measure to make sure the shelf is sitting in the middle of the rack. Pre-drill, countersink and secure the horizontal shelf with 50mm chipboard screws so it's centred on the side panel. Now attach the vertical divider to both top and bottom of the frame.
Use the drill and 4 x 30mm screws on each caster to attach the wheels to the base of the shoe rack.
Depending on the look you want, you can paint, stain or varnish your shoe rack. Once it's dry you can move it into place. And because its on wheels you can easily move it anywhere around the house.