Ok after tinkering with what I have, I have managed to get the water at my new place acceptable for teas. Maybe this will help someone with a limited tap purification system who does not want to start using bottles or paying around 150-300 for a good system. Here is what I did before
: brita faucet mount water-> Pur pitcher -> kettle -> tea =tainted taste (especially after 1'st infusion but slightly noticeable during the first) , decent aroma, very limited future infusions, I would be happy to get a cup with a decent 2nd steep ) This was especially the case for different houjichas, still a bothersome problem for senchas/guricha , and slightly less for oolongs (green oolongs did ok in that water though, ie tgy)Here is what I do now
: Run cold unfiltered water on highest flow for a minute or two -> Brita filter turned on, decrease the flow of filtered water to the most minimal as possible so its just trickling out very slowly -> this water is trickling into a Pur water pitcher -> Let pitcher sit for as long as possible (usually for me around 3-10 hours) -> Boil water , but make sure once it starts boiling to let it boil for a minute or two = much better tea
Now my houjichas taste much better, with the exception of roasted kukicha which does taste much better compared to before, but is still slightly muted (esp the sweetness) (why is that anyone?)
My senchas taste like they should for at least the first 2-3 infusions. It still does seem to be weaker then it once was though once I go beyond number 2-3.
My oolongs are also much improved especially in taste, but once I get to later infusions around number 4-5 I can notice a weakness in flavour that wasn't there before at the old house.
I no longer have to use a ridiculous amount of leaf to get a good cup. I still use a little more though then I used to.
I have not narrowed down or eliminated any reasons though, the cause of the better water is still unknown to me. Was it the waiting, the extra boiling, the slower water flow from brita to pur, the flushing of tap water beforehand ? Maybe another day I will try to narrow it down.
In the old house all I used was a Pur pitcher with no waiting. The good old days.