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I soak the plug and wire insulation I want to remove in acetone for a half hour or hour and find the insulation just peels off. If it doesn't, such as the thicker parts around the plug, soak a little more. It doesn't affect the wire lacquer, which may be good or bad, since it would be nice if it cleaned off that insulation, too. Some heat-shrink tubing slipped over the wire beforehand can be slipped over the worked area and shrunk with a cigarette lighter to add some protection/strength to the area and make it look more professional, but it will also make that section less flexible.