well if your going to go to that extreme you can but before you do that you need to do some basic science shit.. you need the vaporizing temps of shit like sulpher and the crap thats in your water.. theres a lot of shit that makes it back into the water you use like pesticides/herbicides and the down side to that is that shit generally carries a really low vapor temp and become trapped in the water vapors when you distill .. then condenses back down and becomes more potent because its now a higher content in the water, since you've distilled some of the volume. distilling water was really for irons and shit like that it wasn't ever a source for plant water because a lot of the beneficial nutrients that are in regular water are removed in the distillation.
if you can drink your well water there is no better water source for your plants... well water beats any watering choice around. you are tapped into a aquifer that supplies natural water your plants would be searching for if they resided outside.
normally you can get them at any filter store.... like culligan...absopure.... or whatever your major water supplier is in the area..
if you drink your well water your generally fine.. but have you even just looked into something as simple as a whole house water filter? they have many options some are cheap and some are really advanced but just a basic filter can pull out a lot of that crap to clean it up a bit more.