I restored a lubester with LED light strips, worked well. http://www.oldgas.com/forum/ubbthreads.php?ubb=showflat&Main=98741&Number=599667#Post599667
They stick on but it's best to mount them because they don't stay in place well over time. Colored LED have a white setting but it's a little off white (bluish), just white ones are available too and that white is pretty clean.
Some of these come with remotes, I personally like the remote.
You want to mount the strips so they are not directly visible and also you need some distance for the light to shine otherwise you see each LED spot, like little spot lights, need like 6" of space to a surface you may be bouncing off of (if you are).