No, you can not, unless the custody order is modified by the court.
Yes
what type of mother would want this to happen ..if he is good enough to have joint custoday of his kids then why in the world would you want to give your kids to someone other then him
With an injunction
There are two types of custody, physical and legal. Legal custody concerns joint decision making in the child's life including health care, so if you have joint legal custody, the father has the right to object to you taking such an action and it would have to be court ordered otherwise.
As in you remarried your children's mother, or a woman with children?
Joint legal custody, no, not if the other parent objects. You must secure their permission or failing that, the permission of the court which is the only authority that may override a parent's objections in such a situation.
As regards what? see link below
If there is joint custody of the child then the father should be told by the mother where she is going with the child and for how long. If the mother wants to live in another State the courts will have to decide visitation rights. Example: The father has may have the child one or two weeks during the summer; possibly Christmas or alternative Christmas', etc. If the father does not have joint custody then the mother can leave with the child to another State without his permission, but to be fair to the child the father should be informed unless the father has a criminal record; drugs, etc., and is an unfit father.
For what? If child support, depends on your state, and whether you have primary, joint physical, or bird nest custody.
In joint legal, the primary residential can.
Unless you have the courts and the other parent's consent you will charged with kidnapping and the children will be brought back and you will lose custody and possibly your parental rights.
If she has custody of the kids. Legal custody.