This is just a quick little look at my bike. I picked up a roll of RGB LEDs for about 17 bucks at Wal-Mart. They are waterproof, and come with an infrared remote, as well as an RGB controller.
A demo can be watched here: https://youtu.be/j28rO3-VtW0
Step 1: Frame
These photos just show how the strips are attached to the frame.
Step 2: Battery and Controller
I had a 12v sealed lead acid battery, a power switch, and the controller. They were all tossed into a little bag that attaches to the handlebars.
Step 3: Further Detail?
If you wish to have a better understanding of how the electronics are wired, or how to connect the strips, please, let me know. If enough people ask, I'll update this instructable.