Currently use a Brita filter as its enough to take the chemically smell from my tap water. Espresso machine has a built in water softener that I change every six months or so. It isnt the most efficient way to do it but the machine does not have any build up when I have checked, my water tastes neutral and nice to drink if not amazing.
Long term I want to build in a proper water purification, strip, and remineralization solution into my mains supply when I get around to redoing the kitchen. UK is low risk for water contamination but we do have recent incidents of it happening so its not zero risk and I would rather not take the risk with the way our water companies are ran.