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The mug keeps the lather from escaping and creating a big mess. You need SOME container for the soap.

1) Any brush is better than no brush
2) Synthetic bristled brushes can be irritating to sensitive skin, especially using soaps made with Fragrant Oils.
3) Boar is great for use on hard soaps
4)...

Good creams are designed to be used with a brush (that lifts hair). Therefore they don't have the ingredients that makes out of the can stuff emulate the effect (with very little success). Generally...