Model 66 Mothers/Diamond white??

[Model29-26.5]

What's my best method to get the best finish I can get without it being totally mirror… although once I start I can see myself getting obsessive.
It has some scratches.. I went purple scotch brite some but need to ease back to white..
Then what?
Thanks
Dremel?

 

[ACE10000D]

Grey scotchbrite pads worked in the direction of the grain.

 

[Truckman]

Grey scotchbrite pads worked in the direction of the grain.

I don't own any stainless steel guns anymore, but this was what I used to refresh the finish on them when I did......Ben