I have been there, my ex relinquished custody rights to me for the same reasons I filed for a divorce. So what do you want out of the custody hearing? Seriously, your deafness should not be a factor in this case, your ability to support and raise your children is. But my case was held in Louisiana, talk to your lawyer regarding what options you have based on what agreements or claims for physical and legal custody that are made. Regardless what your goals are, it’s important to be prepared especially with documentation, be it detailed financial assets and liabililities, annotated visitation arrangements, police reports if any, child support arrangements, etc. This won’t be easy, ok? It was a very emotional and yes, even embarrassing time when personal notions are discussed. But never let your deafness be a factor for custody consideration.