Can I legally move out of the state with my daughter without her father's permission?

Generally speaking, if there are no custody or parenting time orders in place, and no action filed for dissolution, then there is no impediment to your moving. However, the state where the children have lived for the prior six months is the court which will have jurisdiction to determine custody and parenting time. What this means is that, absent some very special circumstances, the father could file a petition in his state, and you would have to respond in that court. What I suggest you do is to consult with an experienced family law attorney in your area to discuss these issues. With no orders in place I believe that the police would simply tell the father that there is nothing they can do, but seek local counsel's advice on this.

If there is no established custody case then you can move. However, the State to file a custody case will be where the child has resided for the past six months which would be Texas.

Yes. You can move. But you must also tell dad where the child is living. I suggest you get a restraining order.

Yes. You will not be charged with kidnapping if there are no court orders. Go. Then establish residence and custody in the new state.

If there are no court orders then you can move.

As long as there is no custody case, you can move. Be aware that if he files a case after you move, you may be ordered to return the child to the state. However he would have to take action and the police reports would be good evidence for you. Also, why have you not gotten a protective order keeping him away from you and your child? That will help too.

Has there been any Court Order, if yes, not without Court's permission.