Howdy Again
I have been using Hoppe's #9 on all my guns since I was a kid, and I suspect I am quite a bit older than you. It works just fine on blued guns. You can take the grips off to clean the gun if you want, but Hoppe's #9 will not hurt them. If the grips look good, just leave them alone, no need to mess with them. They were coated with a very light coat of varnish when they left the factory.
Yes, absolutely use snap caps if you are going to dry fire it. If the tip breaks off of the firing pin you are going to have a hard time replacing it. Frankly, I never dry fire my guns. Well, hardly hardly ever. It just is not very good for them. As pristine as that gun looks, the more you work the action, the more you will be starting to generate a ring around the cylinder. That is the nature of double action S&W revolvers.
I'm not saying don't take it out and fondle it, and work the action a little bit, and shoot it a little bit. It is your gun. But the more you work the action, the more it will start to show.
Oops, just took another look at the photos. There is already a pronounced ring around the cylinder. So don't worry about that, work the action all you like. But be sure to use snap caps if you are going to dry fire it. I just checked and Midway USA has AZoom 32 S&W snap caps in stock.
By the way, you are not going to find 32 S&W Long ammo growing on trees. You can also fire 32 S&W in that revolver, and I'm pretty sure you can fire 32 Short Colt and 32 New Police in it too.