These LED augmentations can help you with your cyberpunk costume or other design that requires glowing eyes. this is a super cheap, simple circuit comprised of a battery and LEDs. You will need patience and a steady hand, however.
Make sure your soldering iron has a fine tip and use SMD LEDs in size 1206. This size has about a 1mm distance between the terminal foot and the top of the acrylic cap, allowing a 1mm enamel wire to sit in that gap very comfortably.