If you're looking for someone to argue a motion / try the case, you should be able to find an attorney who will work on a "limited representation" basis so long as you're willing to sign a waiver. But unless you literally just want "stand-by counsel" (like you sometimes see in criminal cases when a defendant represents himself pro se; an attorney to sit at the table and assist with evidence issues, etc) whoever it is will usually need a least a few hours before court to review your case, the pleadings, etc.
You don't say what County the case is in, though.
IF YOU LIKE THIS ANSWER AND APPRECIATE THE TIME IT TOOK TO WRITE IT, PLEASE SELECT IT AS "BEST ANSWER." Thanks. The above is said without seeing your case file and without my understanding the entirety of the facts of your case. Depending on those facts, the above information be may incomplete or may be completely inaccurate. The above is intended as general information only based on what you described and not as legal advice. I advise you to consult with counsel who may be able to provide better information commensurate with a better understanding of your situation.
You may request that the judge order your ex to pay attorney fees "pendent lite". You will need to show that he is able to financially pay for this, that you can't afford it and that there is no bad faith on your part. Custody cases are among the most difficult.
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