Lots of good ideas. Seems like everyone develops their own process, and it works for them.
Here is my process.
I have a home built tumbler that hold 1.5 gallons of water. I load it with 10 lbs pins, 8 lbs of brass. I will go 10 libs of brass, but it has to tumble for a longer time.
2 TBS of Armor All Wash and Wax with Carnuba. It you try this formula, be sure that it says Wash and WAX on the label, not Wash and Shine, which does not work.
Plus 1 tsp of Lemishine (this was originally called Lemi-Shine Original, they have now changed the name to Lemi-Shine Booster, same thing).
Fill with warm (not hot) or no less than room temp water.
I tumble for min 2 hours, but will go 4 hours to get primer pockets spotless.
I too use the 5 gallon paint strainer bags. However; I pour out as much dirty nasty water as I can, then slip a 5 gallon paint strainer bag over the tumbler and dumped the entire contents into the bag. Rinse the bag and contents under running water to remove dirty water and soap.
Dump the contents of the bag into a case and media separator. Rotate the separator to remove 98% of the pins from the cases.
Lay the brass on a large towel, spread it out, and keep moving a 1" sq magnet through the brass to get as many pins as possible.
Depending on how much brass I have, I will either let dry on the towel, or in a dish washer we have in the basement that has a Hot Dry/Pate Warmer selection, usually takes 2 cycles to dry perfectly.
On another note, I use AA Wash and Wax for 2 reasons. The wax acts as a lubricant when resizing, flaring, and seating a bullet. Dawn removes all oils and dirt from the brass, and the brass needs to be lubricated in order to function properly in the press.
The second reason is that the brass can be stored for a very long time without tarnishing. It stays shiny and clean as the day you took it out of the tumbler.
That's my story, and I'm sticking to it.
Edited for bad English.