Not sure about cheapest tumbler but lemi-shine they have at canadian tire in west edmonton. Lemi-shine and Sunlight is what I use.
I quit using the pins for pistol brass a long time ago. Have to tumble a bit longer (2 hours) but it is really nice not to have to deal with the pins. I have tumbled rifle brass with no pins too. It obviously does not clean the primer pockets or inside but it's plenty clean for what I do.
No pins / 2 hours / Lemi-shine and sunlight: