Here's a secret: if you're not shooting bare/lubed lead bullets (or black powder or corrosive primers), you may not need to clean the bore of a pistol. You almost certainly don't need to really scrub the bore unless there is leading to remove. For most pistols, there is no longevity benefit to cleaning the bore (in fact, cleaning is more likely to do damage), and no measurable accuracy benefit.
The slide-frame rail/interface should be cleaned frequently. The firing mechanism and other moving parts should be cleaned periodically. The chamber of the barrel or cylinder should be kept clean enough to allow ammo to drop in freely without soot causing binding. But the bore itself - the thing that would theoretically require gun/caliber specific gear - may not need cleaning at all.
I don't clean the bores of my USPSA competition guns. These are guns that see tens of thousands of rounds through them. Their bores just stay "dirty," even when I'm doing a detail strip to the bare frame and slide and cleaning every individual part of the firing mechanism. .