If the State of New Jersey has jurisdiction over your children (meaning your child support/custody order was rendered in New Jersey), you should consult with a lawyer in New Jersey. It seems that you need to have the attorney review that order and file a Motion to Enforce the Order or Modify it.
The information provided is not advice but a legal perspective and you should schedule a consultation with the lawyer of your choice.
With regard to an attorney accepting payments, this decision is made on a case-by-case basis by each attorney. So give them a call. An attorney will probably want a retainer deposit and may accept payments from you in accordance with a payment plan. I do this on a regular basis with clients who are in need and who cannot collect against his or her spouse.
You'll have to call around to see if an attorney will take a payment plan. I take payments but I require a certain amount upfront before I file the divorce then the account needs paid in full prior to finalizing.
You would need to file the modification in New Jersey if that is where the children live. You can file for divorce in Houston but you would not be able to address any of the children issues.
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