Answering my own question. Shortly after this question was posted I went to the gym and was told my 10 year old could sit and play his phone in the lobby while I worked out. Just before I signed the paperwork another person behind the counter overheard and corrected him saying that "children under 12 aren't allowed to be in the building". This killed to deal for me so we found another gym that understand some people have children. Shocker!
No child care. But there is a sitting area
Thanks! Your answer is awaiting moderation.