The bore brushes are fne. Barrel steel is way harder than copper/bronze. Avoid the "Tornado" brushes like the plague. These are steel brushes that are very abrasive.
There are lots of folks who use various spray cleaners for guns. The electrical stuff, brake and carb cleaner, etc., etc. There are not bad for general cleaning, but lack the needed ingredients for good bore cleaning. Shooter's Choice is what I have on hand - works.
One big problem with the spray cleaners is that they typicaally remove all the oil from the firearm. I suggest you re-lube after using them. Tons of good lubes out there, BreakFree seems to be in the lead around here - though I'll probably check the Slip 2000 stuff out when I restock.