I've used KG-1 and KG-12 extensively. Never owned or used any of their other products.
KG1 is great for carbon fouling. KG12 is very effective on copper. If you want to remove the KG1 or KG12 residue, you can run a patch soaked in fingernail polish remover down the bore. If you want to lay some oil in the bore after cleaning is complete (recommended), run a swab down the bore with any decent gun bore oil. Break Free, Rem-Oil, Triflow. Just about any kind of light oil will coat the cleaned bore and help prevent corrosion.
I start with a wetted KG-1 patch until the majority of powder and carbon fouling is removed. Then swap straight to KG-12 wetted patches. KG-12 doesn't indicate blue staining during copper removal like many other copper removing solutions. It goes from yellow to a darker yellowish orange, which makes it more difficult to determine when all copper has been removed. But it's a very effective copper removing solution. I still use it to an extent, but I've sorta switched to Bore Tech Eliminator and Bore Tech's Copper removal products. They seem to be just as effective, but they stain blue until all copper is removed, which makes it easier to tell when all copper has been removed.
KG-12 isn't supposed to be corrosive to the bore, but if you want to remove it any KG-12 residue, swab the bore with a fingernail polish remover-wetted patch or two. The fingernail polish remover will evaporate. Then you can lightly oil the bore for storage. Swab bore with a dry patch prior to firing to remove any excess oil.
You should never need to use a nylon or brass brush on your bore if you follow these methods for cleaning.
I don't even know what the other KG products are for, but I know you don't need them for carbon and copper removal. KG-1 is their most potent carbon removing product. And KG-12 is their most potent copper removing product.