Set up the wine rack to stand in an "A" frame. Leave the opening about 6" wide.
Measure 1" in from the side and bottom and mark with a pencil. Using the 1/16" drill bit, make a hole in each of the four corners of the bottom of the wine rack.
Loop the neon string through one of the holes and tie a double knot to secure it. Take the other end of the string and loop it through the opposite hole. Tie it into a double knot, making sure the opening is 6" when stretched to its capacity. Trim the excess string. Repeat on the other side.