Stainless steel has a slight color to it even when highly polished. It is kind of maintenance needy, especially on exhaust tips which get a regular coating of exhaust gas and water mixed with dirt and crap from the road..
Chrome has a more bright look of plating to it and when new or very well kept, will always be easier to maintain and polish... Chrome always seems to shine "brighter" than stainless steel.
Look around for and I know these are more rare than ever - Chrome Wheels - Chrome Bumpers - usually on older vehicles and you will get a better feel for what is chrome and what is not..
You can use the same products to clean and maintain either one..
I have a couple of tubes of Wenol and this works great on either, and last few years, have been using more and more of Optimum Metal Polish, and old cotton towels..
Sometimes when these exhaust tips are really dirty, I will use the products with some 0000 Steel Wool very carefully, to break down the nastiness, especially the inside of exhaust tips, and then polish up with old cotton towels..
And you have already figured out that wearing gloves is absolutely necessary unless you want your hands all black..
Good luck !
Dan F