A motion isn't a Trial...A motion is a he said/she said filed into the Court and you only say anything when a Judge asks you something, I haven't done an emergency motion and all I can assume is you want the Court to make a Temporary Order or Interium Order when you are there.
Remember a Judge is kind of like a news reporter all they want to know is WHO, WHAT, WHERE and WHY and those questions must be based on FACT (which isn't going to be the case at a motion) then they can make a decision. If you and ex start slinging mud at each other...what is a Judge going to do? yup maintian the status quo and your going to be one ticked of dude...times 1000
Your primary objective is the child...you still live in the stable matrimonial house/apartment with close family (bring some to Court). You want to mediate any other issues your ex may have after the motion...provide a workable access schedule and you'll pick up/drop off the child. Supplying a Judge with a criminal record check makes it easier for the Judge to make a decision. Somewhere a no move directive has to be made on your EX...womens shelters are not stable enviroments for kids they are temporay housing.
If your ex also smartens up (she'll be trained at the shelter) and "will" come in saying she has some concerns about you....and has E-mails asking you to pick up your child or called you about it (it ain't a Trial she can say whatever ever she likes) the judge may slam you for wasting the Courts time and award costs for the day to your ex. (I speak from experience ..paying court costs of 1000 bucks fighting to see my kid(s), I wasn't prepared for Court (darn Forms) and was all fire and vinegar about my rights to see the kids which she was denying access just after separation.... and SPLAT)