Not sure what all this "Florida water" talk is about. My water up here is vastly different than that in central/south FL. Ours has no smell and tastes pretty good though sometimes a bit too bleachy. I think different cities in FL have different water and treatments. I don't like the water in Orlando or the beach area we go too. Not sure why people think FL water is one and the same, guess the same reason they think FL schools are all the same!! Our water is rated among the best.
That said, our Fridge does have a filter for the ice and water dispenser. We use that at home, or just tap water. I remember reading stories in the past about bottled water and regulations and it not being necessarily better! Maybe things have changed. We do use bottled on trips though.