Can my family come with me to AIT?

I recently graduated from the school house. I was prior service but I'll give you the run down as I understand it for iet soldiers. Yes you can move your dependents as a part of a Pcs move.
Understand that you will not be allowed to live off post with them until you are phase 5+ which will take you a few months, a passing PT test, no test score below 70, and a board in dress uniform. Until then you can visit them after school hours but you will sleep in the barracks and be back before bedcheck. If you lose your phase you may be forced to move back into the barracks, understand it's a privilege not a right.
Best of luck

Depending on your chain of command, it is possible to have your family move with you. I know as far as a 25S, our company has quite a few people that live on post with their family. Some have their family moved in before they even Phase to V+. They still live in the barracks until they do phase and get their housing packet signed by the commander and 1SG.

I'd say it's likely depending on your MOS but don't count 100% on it as your chain of command may not approve. It may also be pertinent to know if the post your AIT is located has on post housing.

Yes you will be able to have them come once you meet a certain time requirement as IET soldier... then you will be able to have you family come to join you... It will be very tough for you with family and that course I can tell you that... I was senior instructor at that school and seen many marriage struggle because of the school and family issues....