The cheat way to rewire an old lamp providing the wiring to the bulb is sound. I simply buy a cheap extension cord and snip off the socket part. Then you have a ready made plug with lead and don't have to worry about wiring the plug and all that bother. I then use a great product which is a simple wire connector, the wires just push in and then lock in place. It also allows greater flexibility when placing the lamp and you have a chance to unclip the join and thread it through holes if need be. I just need to look at painting them black so they blend in. Its all really easy, email me with any questions.