Draw two lines across your plywood so they are parallel with the 36-inch edges, spaced 12 inches apart and so each is 6 inches away from each 36-inch edge. Draw four lines that are perpendicular to the first pair so they are spaced 8 inches apart and the two outside lines are 8 inches away from each 24-inch edge.
Drill a 3/32-inch hole through the plywood where each of the lines intersect and erase the remaining pencil lines. These holes are pilot holes for your handbag hooks.
Screw a decorative hook where you drilled the holes.
Locate studs in the wall where you would like to hang your handbag rack. The light on your stud finder will turn on when you have found a stud. Position your rack against the wall so the 36-inch edges are horizontal. All of the hooks should be facing up so they can hold your handbags. Position your level on top of the 36-inch edge to ensure the rack is parallel with the floor. Screw through the rack and into the studs using two 4-inch screws for each stud.