A reverse osmosis system that can be installed below your sink will take out a lot of contaminates and nitrates in your water. I have one installed and a line tapped going to the ice maker as well from the R/O unit. R/O water filtration is what most bottled water companies use. Actually I have 2 units and one with a 35 gallon tank for my aquariums use. 5 gallon tank for human consumption with a faucet on top of the sink. You will use more water through this type of system as it flushes out the impurities in the water down the drain. I also had to have a water softer and used the salt labeled for iron elimination use. It won't get rid of it all but does a decent job. The R/O unit though does plus make your water neutral as it is not too acidic or alkaline. Very good for kitchen and drinking use as it doesn't scale up coffee makers or water lines to fridge. Worth the investment.
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RO systems are very effective. They are a last resort treatment system when you have something particularly hard to remove like excess fluoride or arsenic. Relatively slow to work and expensive though. Far too big of a gun to deal with iron, there are much simpler ways.