Divorcee here too. Mediation is, in effect, mandatory. As above, keep it as civil as possible (your kids, if no one else, will thank you) and realise that the whole process will likely cause short term physiological as well as psychological harm to all of you. How you all handle it will determine whether that becomes longterm. A word of warning, mediators can be utterly rubbish and lawyers can create chargeable work out of thin air. Keep good records of all contact with your solicitor especially face to face. The person who sues for divorce rather than the person who initiates mediation usually picks up much of the legal tab.
Don't be in any rush to 'get back out there' if you are not involved with anyone already and, as hard as it may seem, try not to get drawn into (or indeed, start) any more arguments.
Good luck.