Step 1: Parts
The parts from the home store you will need are: a light socket adapter, a flourescent lampholder with starter socket, and a 20W flourescent tube starter.
Step 2: Remove the lamp base
Using a jewlers flat blade screwdriver bend the indents (2x) holding the base on, out wards so the metal base can be unscrewed from the adapter.
Step 3: Remove the rivet
Using a 1/8" drill bit, I drilled the rivet out. The rivet is located in the center of the plug in part.
Step 4: Separate the two halves
At this point the two halves of the plastic body should easily come apart.
Step 5: Prep the starter socket
I wanted to save the lampholder for a project in the future, so using the flat blade jewlers screwdriver I popped open the back of the lampholder and carefully removed the wire attached to it. I then bent the metal arm away from the starter socket and the brass rivet easily gave way.
Step 6: Fit the starter socket
I set the starter socket over the plugin to see how wide I needed to cut the hole.
Step 7: Cut and fit
Then get out the trusty Dremel and cut out a spot for the starter socket. Make sure your cutting wheel goes deep enough so when you use the regular screwdriver to pop it apart it doesn't break the plastic shell of the adapter. That's what I did to my first one. Test fit the starter socket to make sure it fits down in the plastic shell.
Step 8: Start Wiring
Since the starter socket has push in connectors I cut a short piece of 16AWG wire and pushed it in. The black wire that came with the starter socket is solid core 18AWG. Then fit the starter socket back into the plastic shell running the wires to the inside of the shell. Then pull the brass connectors out of the other half of the shell.