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I think a Brita jug filter would be perfectly adequate for your use, just make sure you change the filter regularly. Do a Pepsi challenge with it and you’ll certainly find a noticeable difference. I use a plumbed-in Brita filter for the glasswasher and it gets the TDS down from over 400 to about 250 so a significant improvement.
I also get a little bit squeamish at the use of bottled water for brewing coffee.
I was hoping to avoid bottled for plastic reasons, also probably more expensive in the long run than some kind of 'cheaper than industrial reverse osmosis' filter system. Also kitchen's not massive and I don't have lots of space to stockpile many gallons of water (I'd probably be using about 2 litres a day for coffee alone).