I've moved to being cordial and pleasant but I'm not communicating anything more than logistics...
At a higher level, I'm not proactively informing her of D3's activities (e.g. if she wants to know that D3 had a bath last night she can ask me, I'm not telling her). I do inform her when I will be taking D3 out of town but it's this: "FYI, I'm taking D3 to [hometown] this weekend, she'll be there Fri-Mon". I'm not even acknowledging TMs from her that I don't need to (FYIs, etc.).
All that to say that you should make this as easy on yourself as possible - if in doubt, don't communicate it out. Unless it's something your W needs to know for logistics then don't send it. Keep all messages brief. Don't tack on any personal stuff. Don't even put in small talk ("House is locked up. Crazy weather, huh?"). If you want to communicate with someone, do it with other friends, coworkers, or at your new hobby (you're getting those, right?).
"What is best for my kids is best for me" Amor Fati Link to quotes: https://www.divorcebusting.com/forums/ubbthreads.php?ubb=showflat&Number=2879712