BB mess

In a word—don't.

Copper clad BB's will eventually cause strange things to happen to both acrylic and enamel paints. Steel will usually not affect enamels, though there are exceptions. Steel will play hob with many, if not all, aqueous (acrylics, etc.) systems.

Stainless steel works, but stirring paint is always better than shaking, especially in small containers. 

Well, i have used this method for a coulple months, and noticed a disurbing darkening around where the copper bb's sat at the bottom of white tamiya acrylic paint jars.

As for me, I noticed the ones I had put in a masking solution ( Micro Mark Mask It Easy and pink acrylic tint ) were beginning to rust. Fortunately, there is a shop near my workplace which sells glass items and lab tools, so I bought a bag of glass beads. There were available in 2, 3, 4, 5, 6, 8 and 10 millimeters diameter. I chose 4 mm, it cost me around 12 Euros for 1 kilo (a lifespan). I have to try, maybe they are too tiny. And this doesn't impede me to use Badger paint mixer.

 I think i'd just stir it ,

Ok, one more time...

BB's belong in a Red Ryder and this is what you need for paint mixing