I would recommend an in-line reverse osmosis filter system.
There are many options available, here is a link to a bunch of different ones on Overstock.com currently priced at $160.
We paid a lot more for ours, but love it. Reverse osmosis elimates all sorts of things from water including the residue chemicals that particle filtration does not. Studies show that drinking water contains a small traces of residue medical chemicals that are recycled back into water and not removed in city water treatment. Supposedly these are all in 'safe levels', but I have to say I prefer my water filtered here at home.
More information on reverse osmosis from Wikipedia: LINK
Reverse osmosis does 'waste' water in that you may use up to six gallons of water to create one gallon of clean water, so I would recommend limiting it to drinking and cooking water.
My understanding is that a reverse osmosis system is necessary. I think it cost around $1,100 to have Ecowater install one in my kitchen (some plumbing work is required, not just the purchase of a unit). There is some ongoing yearly cost for filters. I've never regretted it, though. And the water tastes vastly better than it used to with a Brita, and notably better than water from the Culligan dispenser at work. I also virtually never buy bottled water now unless I'm traveling (I carry a stainless steel bottle with my own water) so I do save a good bit of money that way.
I notice the Berkey (which I've never heard of) does not mention fluoride on its main page at least, FWIW.
1) reverse osmosis (RO)
2) activated alumina - you also need a filter after this one (KDF/GAC) to make sure no aluminum gets into your water. And you probably still want a carbon filter after that, so you are looking at 3-stage, over $200, comparable to RO.
3) find a supplier of spring water in your area. It may be possible to find a free spring and bottle your own. Otherwise your highly filtered water will be lacking in minerals.
Bone char is used to remove fluoride from water when the levels are around the typical range found in municipal water systems with added fluoride. The FluorideMaster is an example of a whole house filter for fluoride that uses a lot of bone char.
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