At a big box garden or sprinkler system dept. you can find plastic devices for adding soluble fertilizer to outdoor watering configurations. Simply adding bleach in the cylinder, already attached to the hose, and turning on the faucet works for me. The one time I added bleach via a hose, there was an odd odor and flavor, beyond the bleach, that didn't disipate after several tank rinses. I suspect the straight full strength bleach isn't chemically compatible with the hose interior, and I opted not to do that again.
Attached are photos of the method I developed. The addition of the little shutoff valve inline means I don't have to leave the utility bay to go turn a faucet on and off. The same setup serves to add a cup of baking soda, after a rinse a few hours later, to clear out any bleach odor before a trip and system use.
Joel