If you have a custody agreement, then it is very likely that you are not permitted to leave the area. Typically, custody agreements contain a provision relating to relocation. If your ex-husband has legitimate issues with the quality of the housing and the safety of the children, he could bring you to Family Court to change the physical custody of the children so that he has physical custody.
There is also a chance that child protective services could be alerted relating to the quality of housing and the impact the housing has on the children.
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