https://www.canr.msu.edu/news/list-of-household-filters-appr...
https://www.canr.msu.edu/news/list-of-household-filters-appr...
They can be absorbed through the skin so if you really want to avoid them you need a whole house filter.
The WHO stated that demineralized water is unsuitable for long term drinking due to the lack of minerals.
Not sure how significant this is or how many minerals you can get from diet instead of water.
The flow rate & pressure is typically very low for the drain water with these systems, so you'd need another setup to handle pumping it to your toilet, etc.
Sending it outside is probably the easiest way to immediately use it.
proper inlet pressure also improves efficiency.
Here's one that's quite popular: https://www.theperfectwater.com/Home-Master-hydroperfection-...