Divorce First Or Roman Catholic Annulment First, Do You Have Any Suggestions?

The two things are separate.  You aren't divorced until you're divorced by law, so that has to come first.  Once your divorce is final, or even while it's being sorted out, you can begin filling out the papers for Catholic annulment.  All you need to do is speak to your parish priest, and he can get you the paperwork you need.  It's a long, drawn out process, but it is SO WORTH IT!  Good luck!

I would speak to a priest first but would lay odds on getting the annulment first as the church does not look highly on divorce.