My favorite subject since I spent nearly ten years studying the effect of water disinfectants on plastics and rubber following the failure of the polybutylene plumbing system in this country.
First a word of caution. More chlorine is not better. Chlorine is toxic, and it also destroys some kinds of plastic and rubber. Ten PPM (parts per million) in a horses drinking water is reported to be fatal. Chlorine also reacts with algea or other organic detrius in surface water to produce THM's (trihalo methanes) which are carcinogenic. As a result of the later, public water companies rarely use straight chlorine for disinfecting surface water. Rather they use chloramines produced insitu by adding ammonia first to prefiltered water, then followed by chlorine.
How much is safe? Depends on what you are trying to do and on what form of chlorine you are using. One tenth of one part per million (0.1.ppm) residual chlorine is usually enough to kill bacteria and keep them away. For municipal, treated poteable water that should be enough. If for some reason you are using an untreated source, you might go to one or two ppm. You start to smell it in a shower at 2-3 pph depending on the pH of the water.
You should be able to shock your system with 10ppm chlorine. That's what the city of Miami, FL used to do to clean their pipes before the snow birds arrive in the fall. Fill the tank 2/3 full and try to run in a big seaway. Then drain and rinse thoroughly. And hope you didn't shorten the life of your rubber components too much. When calculating how much to add, figure household bleach contains about 2.5% active chlorine.
Personally, I like to add a bunch of NaHCO3 (bicarbonate of soda) to the system and let it sit a day or two. That seems to sweeten the tank nicely. Just don't get it in your eyes until you haved purged well.
All that said, I suspect you will not see the vinyl hose look much cleaner, but the water should taste and smell better. Like Mike, I try to use the tank water unless Gayle is washing lots of clothes.
Bob Kassal
Chateau de Mer
1981 48MY