Swimming for a 4mo

My hubby and I are members of a local swimming club and we would love to bring our 4mo girl to experience splashing in the water. However, I read that exposure to chlorine is not good for babies' delicate skin? Any mummies here brought their LO to swim in chlorinated pools and have no issues? Otherwise, are there any non-chlorinated pools in Singapore that we can go to WITHOUT the need to take up classes?