Phil polishing aluminium can be relatively easy, spinning mops can catch on the edges and perhaps cause you damage let alone the side-screens. If you are using wet and dry try not to put too many scratches on the surface by using a low number grade, which can be great to get the rough off but leave you with deep scratches to then try to polish out by choosing perhaps 400 grit. once you have the surface scratch free you can then go for a polishing compound witch will still be course T Cut was one I used, which can make things really shiny and if you want to go further I used a polish called Solvol Autosol which can bring alloy up almost like chrome. Halfrauds should have that sort of kit in small volumes.
Though alloy will dull quickly of not regularly rubbed with a rag. However once polished it is reality easy to keep looking presentable....No substitute for a bit of elbow grease..(-:
Good luck in your choices.
Of course it is a long time since I polished alloy, so as ever I could be typing rubbish...Duh!