It's called "Special Masters". These two lawyers volunteer their time in hopes of creating an uncontested divorce, which helps the family financially and emotionally. Treat it with respect. Remember, at this point it is purely a business transaction. The outcome should be even weighted. They say that a divorce is successful if both individuals feel less than satisfied. If you think this is bad, a trial is exponentially worse. Make sure you know what is motivating you and what the outcome you're looking for is.
Sometimes both parties will pay an additional fee to select a single Master who is well respected. It's a crap shoot about who will the Special Masters the day of your appointment. When the Special Masters make their recommendation, tell them you need a few minutes to consider it. Go out to the hallway and speak to someone trusted with a solid (not emotional) basis of seeing the whole picture. That's who you need in your court.. someone who sees what is best for you, best for the kids.
Only by looking at the long view, the pros and cons will you know if what's right for you.