I used the polishing kit available at Harbor Freight. I think it was about $20. Has several compounds and pads. I used a drill but you can use a buffer depending on your project.
With these I just went through the compounds. To remove the scratches wet sand first with 800, 1500, 2000 then polish. After you polish and clean with soap and water try polishing a little more with Never dull. The stuff is fantastic. Then apply a little wax