I buff out a lot of cars with chrome and stainless steel. I also bring cars like this into our classes and then teach others how to buff out chrome and stainless steel.
For chrome, if it has scratches there's nothing you can do to actually "remove" the scratches because the layer of chrome is super thin and removing scratches means abrading the material to "level" the surface to the lowest level of the defects/scratches you're trying to remove.
With stainless steel you can in fact abrade it but the rouges and tools for this are specific to this type of work but most chrome, aluminum or generic metal polishes will "shine-up" stainless. (there's a difference between removing scratches out of stainless steel and making the scratches shiny).
When I buff out cars with chrome my normal procedure is the lazy man's method and that is WHATEVER I'm using for the first step, be it a compound, polish or cleaner/wax, I buff out the chrome and stainless after I've buffed out all the paint with the first step product and whatever pad I'm using is already tatty and/or wet with the product I'm using.
Here's an example, it's a 1970 Chevelle with your paint scheme. After buffing out the paint and the class with the BLACKFIRE One Step I used the remaining pad on my FLEX 3401 and buzzed over all the trim around the windows and the bumpers.
Boom --> Done. Looks great.
Review: BLACKFIRE One-Step Cleaner/Wax by Mike Phillips
So all the bumpers and trim around the windows were buffed with a one-step cleaner/wax and a foam pad.
Even buzzed the pad around the stainless fender lip trim...
