Its bound to have its marks/swirls etc etc being 9 yrs old and not having much love .
If your up for polishing via machine instead of hand then do a little research before diving in .

Op are you in Essex ? seem to recall ur username saying essex . If you are and need some help let me know , i have access to a good unit/products etc or i can travel to you i dont mind.

I would also suggest using a glaze it will hide minor imperfections(not permanant), easy to use and remove and will simply look stunning . Think of it as polish but with no abbrassives . Glazing gives great results and can be applied via machine or hand. Applying by machine would be a good way to get to used to handling the machine and you dont have the extra work load polishing creates practially and mentally . A very simple application .
I actually enjoy glazing by hand sometimes, the time difference isnt alot against machine glazing ime.

hth

Mike