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You can leave the state and file for divorce, but you will have to establish residency, or MS divorce laws will apply. It is also a good idea to discuss this with your soon to be ex-husband. Let him know that you are moving and why, and explain that you will file for a divorce after you have established residency in your new state. If you were already divorced, you would need your ex husband's consent to move the child so far away, and if he would not offer consent, you would have to have a court hearing to accomplish this. So, I would recommend discussing it with your husband beforehand.
If you need further information, please let me know.
Thanks and good luck.
In CA, there are different residency requirement for different things. For divorce, the following is needed:
A judgment of dissolution of marriage may not be entered unless one of the parties to the marriage has been a resident of this state for six months and of the county in which the proceeding is filed for three months next preceding the filing of the petition.
This does not mean you have to wait six months to get your paperwork ready, but it menas that you cannot file until you have been there for six months. Some states do change the residency requirement for guardsmen and women but I will have to do a little research to be sure.