Blue shop paper towels are a big time saver in my routine. When I have several guns to clean, I take the assembly line approach. Strip the firearm and clean and lubricate the barrels of each, then the actions of each, then assemble and wipe down the exteriors.
For the barrels I use whatever solvent I have on hand, currently RB-17*, then follow up with Remington WonderLube (but any oil will do). I like to make several passes with the bronze brush with the solvents, then use an older brush (or even 20ga brush in the case of my 12 gauges) with a torn to fit square portion of a blue shop paper towel wrapped around the lose fitting brush to clean up after the tight fitting bronze brush. The paper towel around an old brush or smaller brush will fit in the bore tightly and covers the entire bore surface (and with a rifled barrel it will actually get down into the groves better than any jag).
For the actions, Remington WonderLube on a nylon brush, followed with the blue shop paper towel to remove the dirty oil, then lubricate with oil or grease as appropriate. Using the same blue shop paper towel (now oil soaked) I wipe down the external metal surfaces. Quick and easy as it gets---and the shop towels are cheap and disposable.
Doug
*
http://www.rb-treasures.com/product3.html