I tell you this so you realize I know what I am talking about when it comes to water and water purification. It has been my life and business for 12 years.
The Zero Water Filter seems pretty good. They have an awesome marketing campaign. I like that you get the TDS meter with their filter, because then you can "see" what is in your water.
I don't want to bore you about water distiller or all of your water purification options. But water distillation with a post-carbon filter will eliminate:
arsenic
bacterium
cadium
calcium
flouride
chlorine
cryptosperidium
detergents
lead
magnesium nitrates
organics
pesticides
phosphates
radon
sediment
sodium
sulphates
viruses