Pick a base cabinet in your kitchen for the wine storage. Choose the narrowest base cabinet for a few bottles, or a standard sized for many bottles. You want to use the base cabinets since the upper cabinets tend to be warmer in the kitchen and the wine needs to stay cool.
Measure the width and height of the cabinet opening. Remove any shelves and their supports from the inside of the cabinet.
Cut wood for the frames for the three levels of lattice necessary for holding a bottle of wine by cutting two strips of 1-by-1-inch hardwood for the sides and two for the tops. Cut each end with a 45-degree miter cut using a miter saw. Repeat for each of the levels.
Screw the frames together at the corners with 1-inch wood screws after drilling pilot holes with a smaller drill bit. Add a drop of wood glue to each intersection before screwing.
Place the frame over a section of lattice with 3 3/4-inch openings, and trace around the outside with a pencil. Trace three sections of lattice for the three levels. Keep each edge on the same line -- so the openings line up for the wine bottles.
Cut out the lattice on the inside of the traced line to ensure no edges extend beyond the framework. Run a bead of glue along the edge of the frame and lay the lattice over the glue. Sink 1/2-inch wood screws around the perimeter of the lattice to hold it in place on the frame. Repeat for the next two frames.
Tilt the latticed frame to fit into the cabinet with the lattice in the back and the frame in the front. Situate the frame to stand evenly in the cabinet, 12 inches back from the opening. Sink eight 1 1/2-inch wood screws evenly spaced through the frame, two on each side.
Slide the second frame into the cabinet, again with the frame in the front, 8 inches back from the opening. Sink eight 1 1/2-inch wood screws evenly spaced through the frame, two on each side.
Slide the third frame into the cabinet, 2 inches back from the opening. Sink eight 1 1/2-inch wood screws evenly spaced through the frame, two on each side.