Best way to clean gamecube discs?

I might be buying a couple. They just have a good amount of light scratches though. 

How would I be able to clean them up? 

I already looked online but I just want the best solution. I just am a bit confused about the process.

U can't clean light scratches

What you are talking about is resurfacing to remove the scratches.  Family Videos around here have those machines.  They do it for a small fee.  Be warned, resufacing sometimes makes working games not work.