We use tap water put through a purifier and stored in the fridge to get rid of that chlorine smell. Never used to have that chlorine smell until they started using more of it.
We probably have the best water in N. America, it falls from the sky and is collected in large lakes in our North shore mountains that are off limits except for water board personnel.
BTW you probably won't like distilled, it tastes flat although it is enjoyed by old fashioned car batteries.