I forgot to mention other alternatives. Auto body polish or cleaner is an alternative. Some folks use toothpaste. Others make a paste out of baking soda. Some of the better hardware stores (a real hardware store, not a home appliance/building material store) carry buffing/polishing compounds, but many of these use a wax body that must be avoided if you think you might need any further painting.
Woodworking shops may carry pumice stone powder which some folks use. Again, you make a paste by adding some water.