taken from another board:

Cleaners and compounds are made to remove serious paint defects, like oxidation, scratches, etc, and swirl removers are used to smooth the surface after using a cleaner/compound and to remove any swirl or scratch marks made by the cleaner/compounds. Always start with the lightest cleaner or compound, and use a stronger one only when necessary. Try any of the following:
Meguairs Dual Action cleaner/polish and Diamond Cut cleaner (Pro Body Shop), Meguiars Fine, Medium or Heavy Cut cleaners (Mirror Glaze line), or any of 3Ms or Wax Shops cleaners and compounds.

For swirl removers, there is Meguairs Swirl Free Polish (PBS) and Swirl Remover (MGL) or 3Ms swirl remover.