Fortunately, NYC has some of the best tap water in the world, in terms of quality and taste. There really is no need for bottled water here, and in most other places, a water filter produces good enough water anyway.
Yeah, that could be an amendment to reco #1. If you are even slightly worried, use a filter at the faucet or in a pitcher.

I usually keep a pitcher of water in refrigerator always ready to go with crisp, clean filtered water.