You have been LT for over six years and have two kids, this does establish a strong case for you from my reading here...
If you were less than three years and had no children it would be a much different case for you...
Again you really do want to consult at least three different lawyers here...
I wouldn't even wait for a legal aid appointment... Most lawyers will consult with you for an hour for free... you can get some input and collect some business cards at that time too...