They used to add chlorine, which was bad enough, but now they add
ammonia also. It is not a good mixture for our skin, hair or lungs. You might want to see if you can afford a shower filter that filters out the mixture, known as chloramine.
Other suggestions would be doing a vinegar cool rinse or trying neem shampoo. But I really have to filter the water and do the other things too. My other shampoo I switch back and forth with is Neutrogena Clean shampoo. The green one.