Like I said I don't know any thing about SwirlX or polishing by hand.
Quick search got me this:
Car Polishers & Car Polish: Car Polishing For a Show Car Shine
"
It is no longer possible to effectively polish and wax your car by hand. The simple reason is that modern car paint finishes, since about year 2000, are very hard and durable."
I kind of assume you will do more damage then good, while maintaining quite impressive forearms from all the rubbing hahahaha.
If I were to polish I would find a tried and tested method of polishing. For me Junkman posted a tried and tested method with video steps. I use the Adams line of polishes and quite a few of there products. I am a big fan of Adam's Invisible Undercarriage Spray. But I did not buy the 400 dollar package. You can pick and choose what ever items you want from where ever to save cash.
Read my guide on Zaino, You dont have to use Zaino but it will help you with some techniques.