I'm sure everyone has their own method that works.
I usually soak a patch in Hoppes #9 and then run it through the bore till it's good and soaked, then I lay it down until after i've cleaned the rest of the gun. I'm a firm believer in using clean patches and the appropriately sized jag. I push clean patches through one at a time and only once each, until I get a clean patch. Then AFAIK it's clean.
I'll then spray the outside with a light coat of FP-10 before re-assembling the gun.
I clean the bore with Hoppe's # 9. Wet patch, jag and wire brush and then patches again until it's clean. Then I clean the rest of the gun with CLP and lube the bore and with rest of the gun with FP10.
I soak the barrel in little vat of Kroil whilst cleaning the rest of the pistol. Then a few passes with the Lewis Lead Remover/a little copper brush action and patches with Kroil 'til the barrel innards are sparkly clean.
I use Shooter's Choice. It works like Hoppes used to before the company got sold to Michaels' of Oregon and they made it cheaper. Wet patch, let it set while I clean the rest of the pistol, nylon brush a few times, dry patch.
I prefer Shooter's Choice for bore cleaning. It's what works best for me. Recently I tried M-Pro 7 Bore Gel, was not impressed. I cleaned per instructions on the bottle then followed up with SC. The M-Pro 7 left a lot of crud behind.
I now swear by a Jag and a good bore brush along with some Tipton's Kleen Bore. I may get flamed for this also but Buy name Brand Jags,Brush's ect!
I think its like anything else you get what you pay for! It took me a while to figure this out myself... Turn loose of that extra money to buy quality products..