I hate to touch garlic. So here is what I do. First shake it in a empty tall bottle and take out outer skin. Then 10 seconds in microwave, the peels come off. If you dont use microwave then you take outer skin off and put them back and shake more and skin will come off. Make sure it is a tall and narrow bottle to get better and quick results.

Also the Silicon Peeler comes free with this Garlic Mincer that works too.
Then mince it and take it out with a spoon. This way hands do not smell.