The sanest way I've found to strip chrome is with a cleaner and degreaser called Purple Power that can be found for cheap from big auto supply stores like Auto Zone. It takes a day or two of soaking, but it's not toxic and won't eat skin like the other solutions. It will take off bad paint jobs too but won't harm the plastic.
I built that kit and had a lot of fun with it. I keep it on my bench as a reference for the build I'm working on now.