Remove the existing cabinet doors with the screwdriver. Use the doors as a guide for the measurements for the new doors. Measure the inside panels on the existing doors to give you the dimensions for the frosted panels. You can order the frosted panels to fit from glass suppliers or some home improvement stores.
Cut 1-by-3-inch pieces of wood to fit the dimensions with a sliding power miter saw. Use the same type of wood to match the cabinets. You can rent this kind of table saw from home improvement stores or equipment rental centers.
Create a lap joint by removing half the thickness of the boards at each end with a router. Mark a line from the end of the board that matches the width of the board.
Brush a thin layer of wood glue on the ends of two pieces and attach them. Use a framing square to ensure you have right angles. Secure the pieces further with small 1/4-inch brad nails. Use a brad pusher or brad nailer to install the nails. Let the wood glue dry for up to two hours. Attach the remaining pieces in this manner.
Insert the roundover bit into the router. Turn the cabinet frame so the front faces up. Run the router around the inside and the outside of the frame to round the edges.
Turn the cabinet frame over so the back of the door faces up. Insert the rabbet bit into the router. Run the router along the inside of the frame to create a groove inside the frame.
Chisel out any excess wood left by the round rabbet bit inside the corners of the frame.
Set the frosted panel inside the back of the frame onto the grooves you made with the rabbet router. There will be a small space between the panel and the edge of the wood on the frame.
Cut small strips of wood, about 1/8 inch thick, to sit on top of the glass panel and flush with the wood frame. Insert the strips on top of the glass. Secure the pieces to the frame with brad nails.
Reinstall the cabinet door hardware to hang the doors back onto the cabinets.