Chlorine in drinkable water will not hurt your plants, plants use some chlorine in grow. If you can drink it out of your tap, it should be fine. As also mentions, most or all of America does not have chlorine in the water at all, it has Chloramine, Which is chlorine Bonded to an Ammonia molecule so it will not evaporate, that's why it was made, So you can let sit and bubble all day, won’t do a thing.
Pool water would kill a plants drinking water wont. Just because it pot, it’s still a plants. There is no reason to water your lawn or garden with a hose and then think that the same water is somehow bad for your pot plants.
IF you really want to remove the chloramine, go to a pet store or Amazon and buy some prime, in the fish section, it will break the chlorine/ammo bond. Then you can bubble all you want.
Prime® is the complete and concentrated conditioner for both fresh and salt water. Prime® removes chlorine, chloramine and ammonia.
http://www.amazon.com/Prime-100-3-4-fl-oz/dp/B000255PFI/ref=pd_sbs_petsupplies_3?ie=UTF8&refRID=112X2APGQRZKMPSKT9FG
REF:
Chlorine (referred to in
water treatment as
free chlorine) is being displaced by chloramine—to be specific monochloramine—which is much more stable and does not dissipate as rapidly as free chlorine