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Step 1: Get Your Supplies
Step 2: Solder the Resistor
You will want to trim down the LED and resistors leg so that you don't have a large area of flimsy solder terminals.
When you are finished soldering, slide some shrink tube over the resistor to prevent a short.
Step 3: Solder on Some Leads
Make sure that you use shrink tube to cover these connections as well. This is also very important.
Also, make sure that you have some indication of positive and negative. I used blue as positive (its all I had on hand) and brown as negative.
Step 4: Install!
Some cars have a switched cigarette socket. In some cars (my case) i borrowed the switched wire from behind the radio. The radio turns off when you shut off the car and the LEDs do the same. If you want to be professional, you could find a blank fuse area and tie in. I opted not to do this...