Is moving out of state a significant change in circumstances
Yes, it is.
and also I went to Ga Legislation and I think I read it correctly a bill that is going into effect 1/1/08 that if there was EVER any HISTORY of abuse that will effect the outcome of custody cases. I am not sure if that means before 1st decree or any and all abuse is to be heard no matter when it occured. This could be the ice breaker in my case.
First of all, it doesn't matter until it goes into effect. Secondly, it cannot apply to abuse before your original decree. If his drinking and sexual habits existed prior to the first order for custody (including before you married him if you had knowledge of his habits), you CANNOT bring them up now. They're dead issues.
If you bring up sexual abuse 'in the family' now, you're only going to look like you're grasping at straws.
What you NEED to do to have a greater shot at moving with the child is make EVERY EFFORT to appear to the court as if you still want to facilitate visitation - with NO RESTRICTIONS.
So, you need to offer Dad 1 weekend/month, EVERY extended weekend from school, most of the summer (broken up if you can afford transportation for multiple visits), every other spring break, every other Christmas, every other Thanksgiving, etc. AND you need to be willing to provide transportation - probably via air (where are you moving to?).