In the evening after dinner is a good time. This is usually when the Dads are available to chat as well. Sooner or later, someone will want to spend the night or your cutie will ask someone over. Perfect situation for making new friends with other parents. These will usually have places to see and things to do for family outings.
Many places now have free storytime and introductory offers for new folks just moving to the area.
Begin to take pictures right away. You will meet many other moms there. Take pictures of the new house, yard, new friends, school, classmates, teams, etc. It will help the children see how easy the transition of moving can be. Last but far from least, don't forget to do some things for yourself.