I've just started [2 weeks or so] using Crystal deodorant works 100% of the time, 1 stick lasts one year, it is made with rock salt. Just wet the palm of your hand rub the top then roll under your arms and you're good to go. Dries up immediately. [if anyone has opposing input on this product please share]
I've also been experimenting with going deodorant free, have had a 75% success rate only. [Hydrogen peroxide spray after showering, chloroxygen drops 18/ day with water]
All 3 products availale at the vitamin shop or whole foods market.
As for clothes bleach, I'vee ben using Hydrogen Peroxide - also very inexpensive. It also works very well for cleaning especially in the bathroom area.
UPDATE: after about 3 weeks taking chloroxygen / chlorophyll: now on 5th day of deodorant FREE... Excellent. No odor, no stickiness, no chemicals...