Cannabis plants don't need distilled (or other fancy purification method e.g. RO) water. Chlorination in municipal water supplies not only does not hurt plants, it is the friend of the indoor grower. Chlorination suppresses pathogens for 2-4 days in an open nute tank, until the chlorine evaporates from the solution.
Anyone who tells you chlorine hurts cannabis plants or that municipal drinking water must be purified before use in a cannabis grow frankly doesn't know WTF they're talking about. Kinda makes you wonder how cannabis plants got on with that nasty ol' rainwater for a few hundred thousand years before teh w33d b4R0ns got hold of a handful of seeds...
If you've ever used a Brita filter, you know how unbelievably slow they are. If I had to filter 550 litres of water through a Brita each time I changed up my tanks, I'd have to start 2 weeks before I needed it, kid you not.
In more than 20 years of doing this, I have never have seen a problem in an op caused by municipal drinking water. The only time I've ever seen water quality cause problems in a hydroponic op was when the water came from a bore with a lot of dissolved minerals.