You could try the Doha Mums Group, check out their website. I am planning to join the group as it sounds interesting. Been in Doha for around 3 weeks now, and if you are used to planning trips with your kids and going around generally, let me tell you that there is nothing much you can do as it is a very small place. The malls are huge and shopping is not a problem. Women can move around freely and the only caution you have to exercise is to dress decently without showing too much skin. It will help once you start driving around.