I actually recently switched to eating primarily organic foods. My boyfriend was a vegetarian, and he decided his values have changed, and he moved onto eating organic meats only. I decided it is probably healthier anyways, but it is worth the switch so I can feel healthier too.
Since switching, I feel a bit more energized and more healthy. Natural chicken tasted no different to me than unnatural chicken...what brand were you trying? What method did you cook it in?
It's pricier, but I feel better about knowing what is going into my body (just chicken who ate grass like the good old days instead of chickens injected with growth hormones eating other chicken parts as their meals).
It's not for everyone, and you will still be perfectly fine if you don't switch to all organic, but personally I enjoy it now.