how to make dog dish hubcaps shine

Depends on what you are trying to polish out .... and how bad caps look ...
You can polish till the cows come home ..... if the blemish is below the metal cap clear coating process you will be there for a long time ..... I heard to remove this coating .. you can use a spray on oven cleaner .... UNFORTUNATELY it will remove painted surface also .. this will make cap "DULL" SO you will have to polish entire cap to mirror finish and repaint red/black ... Then give it a nice coat of wax periodically to maintain the mirror finish ...