All the things you describe are pretty much normal for a revolver. Using a good solvent will generally get the grunge out of the cylinders but beyond that, if you're really picky about the cleanliness of your gun like I tend to be, get yourself a little container of JB Bore Paste. Any gun shop worth it's salt will have it in stock. It is an extremely fine abrasive cleaner and will get the staining off with little effort. If you plan to shoot a lot there is a spray on product that is available from Dillon Precision and I believe it's called "Carter's". You spray it on the front of the cylinder and forcing cone area prior to shooting and it helps in clean up. EZ Brite cleaning cloths will help strip the crud too.
As for copper fouling....given that you aren't shooting at near the velocities of a .270, no, copper fouling won't be as much a factor but if you shoot a whole bunch, it will build up (permitting you are shooting copper jacketed bullets as opposed to lead). Occasionally cleaning the bore with JB Bore cleaner will remedy that issue.
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