Water - remember that you are D - you do not have to tell him anything. If you feel you want to date then date for your satisfaction not to make Ex jealous. I did not tell C anything before I started dating. However, if you have much contact with Ex then I feel he will sence a change in you after you start dating and will know something is up but your private life is yours and I would not share it with him. If he ask about it (like C did) then you can use your gut feelings as to how much if any to tell but I would not go into to much detail - keep him wondering.
And as to him hearing it from the kids or other source - what do the ex's expect would happen - of course you are going to start dating, if that upsets the WAS then so be it. I feel like that is part of dropping the rope.
I am in the office now and have to go to a hearing but would like to respond more. til later tonight maybe some others will respond with some pearls of wisdom.
Just remember that whatever you do - do it for you not to get a response from someone else.