Ah...
3 step process I learned from the fishing fleet electricians in Seattle:
Step one, dip and swirl the stripped end of the wire in a solution of one tbsp of salt and 2 cups of liquid muratic acid (swimming pool acid) until the green or white crud goes away.
Step two, dip and swirl in a container of 2 tbsp of baking soda and 2 cups of water for about 1 minute to neutralize the acid.
Step three, dip and swirl the wire in distilled water to clean off the baking soda residue.
Allow to thoroughly dry before using, use a blow dryer if necessary. It might oxidize to a dark color quickly after this, but don't worry about that.
Every 10 or so connections, throw out the acid and distilled water and start over with new batches, you can just keep adding baking soda to the other container until it get too thick, then start over.
"You measure the size of the accomplishment by the obstacles you had to overcome to reach your goals" -- Booker T. Washington