There is nothing pretty about this step. Except the slow, and I do mean slow, reveal of your beautiful creation. Nothing fancy just get started. I recommend starting with 40 grit sandpaper, followed by 80 and 120,240,400,800.This will result in an amazingly clear look.
Pro Tip: If you have the time and the means to, or already have lots of sandpaper and sanding pads. I have done a 800, 1000, 2000, 3000, 5000, 8000 progression before and maybe it was just my mind playing tricks on me, but it looked phenomenal.