After 17 years of using Doha tap water, I don't see any major problems but then I don't have any other experience to fall back on.

You may find hair loss as a result of your hair getting used to water that is a bit different from where you lived prior to. Give it some time and do a scalp and hair oil treatment now and then to maybe help with the transition. You can use Vatika which is available in all supermarkets. Stinks but try it out keeping in for a few hours. Place a cap over to keep the heat in.