"Another tip I haven't seen posted yet is to ensure your attorney is a litigator. Someone who isn't afraid to go balls to the wall and push the other side to trial" But do be careful you don't get someone who believes your case needs to be thoroughly prepared and litigated at 350 per hour, sometimes who realizes that savings, stocks, retirement funds, home equity, are all available sources to fund a divorce. If a trial involves 100-200 hours of preparation and may take 2-3 weeks, you can realize that pretty substantial monies can be involved. (So you mean I have to go to county college instead of Duke because all the money in my college fund was spent on the divorce).
So while checking on how the lawyers do in court makes sense, it also makes sense to contact their clients and try to find out how much that cost.
You want to see if your lawyer will promote or frustrate resolution. that's hard, because husbands are told wives' lawyers+ prolong litigation and take advantage of weakness, wives told of wealthy husbands paying little for support but hiding money for large payments to fund a new girlfriend's wardrobe or vacation. The lawyer can help facilitate resolution or his own feelings may create discord and prolong litigation.
As a father you need to have emotional intelligence, understanding yourself and your former wife. That means if substantial pressure is put upon you, financial and otherwise, you may have to fight for your children and maintain a role in their life but not entangle yourself in minor issues or allow entraneous factors to frustrate settlement.