Simichrome is fine, as is Flitz. I have both. My tube of Simichrome is nearly 30 years old at this point. You don't use much. (And I have a Harley with plenty of chrome on it!)
Nev-r-Dull is good for removing the carbon rings. There was a topic that mentioned it just recently. It was the topic where Cary was showing us how abrasive those Lead-Away cloths are, fwiw...
I've also found Turtle Wax Chrome Polish is good for stainless guns, though I don't do the over-cleaning thing too much any more. Many people use Johnson's Paste Wax or similar as a long term protectant.
I no longer go nuts with cleaning. I use Gunzilla CLP, and what it doesn't get off isn't worth getting off, imo. I do use Sweet's 7.62 for copper fouling in rifles, sometimes a foaming bore cleaner if needed. JB Bore Paste for really heavy fouling (generally when I buy a used gun, as I don't let my own get bad enough to need it). Brake cleaner to get off heavy gunk, cosmoline, etc.
Lots of people just use Hoppe's #9 and some oil. Or Breakfree CLP. Most of the "name" cleaners are just fine for use.
-- Sam