I would talk to an attorney about getting a separation agreement that specifically spells out custody and financial arrangements. Find out how long it takes and spend the next 3 months getting your ducks in a row. Keep DB'ing because that's for you. I don't recommend moving out until you have a legal custody agreement in place. Don't assume she will be civil. You just never know how someone will react after a BD.
Not sure about the conversation. I could argue either way on that one.