Crosscut the Parts
Use a miter saw to cut the seven boards to length. Crosscut the two 1 × 3s to 24 inches long, then cut the three 1 × 4s and two 2⅜-inch-wide fluted casings to 48 inches.
Make a French Cleat
Adjust the bevel angle on your circular saw to 25 degrees, and set the blade depth to slightly deeper than the board’s thickness. Cut the 1 × 3 upper cleat lengthwise to create two identical beveled strips.
Attach the French Cleat
Lay the two outside 1 × 4s parallel on a flat surface and place one half of the French cleat across them, flush with the edges and 6 inches below the top. As shown, the cleat’s narrow face should rest on the 1 × 4s, with the square edge facing the top. Drill pilot holes, then attach with wood glue and 1¼-inch trim-head screws.
Install the Lower Cleat
Glue and screw on the 1 × 3 lower cleat, 6 inches from the bottom end of the 1 × 4s. Next, slide the third 1 × 4 beneath the cleats, centered between the outside 1 × 4s. Fasten it to the two cleats with wood glue and 1¼-inch screws.
Add the Fluted Casing
Turn over the frame and position the fluted casing pieces so that they’re centered between the 1 × 4s. Attach the casings to the cleats with wood glue, and clamp in place until dry. Sand all surfaces with 120-grit sandpaper, and prime and paint the coatrack.
Paint the Wire Baskets
While the rack dries, coat the wire baskets with spray primer and paint so that they match the coat hooks. Allow the paint to dry for at least two hours, then flip the baskets over and paint the other sides. Add a second coat of paint if desired.
Install the Coat Hooks
Attach one coat hook to each 1 × 4, using the screws provided. Position the hooks about 9 inches down from the top end of the coatrack, and be sure each one is centered on the 1 × 4.
Hang the Baskets and Install the Coatrack
Hold the baskets in place and mark positions for two cup hooks per basket. Screw the hooks into the 1 × 4s, and hang the baskets. Screw the other half of the French cleat to the wall, with its narrow face resting on the wall and its square edge facing down. Hang the coatrack on the wall-mounted cleat.