If you are worried about the safety of your drinking water, there are under the counter solutions for more advanced water filtration.
For those of us who find their normal tap water not as palatable, a pitcher, faucet or refrigerator water filter system works perfectly to remove some of the sharp minerality in our tap. But they only work when they are replaced with some frequency.
The majority of filters will last effectively for about 2 months. We find that on-tap water filters are the simplest way (and far more space saving) to filter our drinking water. But if you require ultra-cold water a pitcher filter is also an option.
The same goes for In-Refrigerator Water Filters.