Teeth - never heard of that. Are you taking any oral chelation products??
If you want to add minerals to your diet start eating a bunch of celtic sea salt. Go with the light grey. You might want to put a pinch of that in your distilled water if you feel you need to for a while. But I haven't heard of distilled water causing teeth sensitivity. It's usually the other way around. The teeth sensitivity goes away with the distilled water. Might be something else and just coincidental.