Frankly I don’t have much to add, seems like some pretty solid advice here. I only wish I had this option when my wife of 18 years left a couple of years ago. I went through the first two weeks of hell, discovering different things every day, until I didn’t really know which way was up. I was, I’m not afraid to admit, broken into little pieces.
Friends are essential. For me playing the guitar helped too, just something to keep the mind occupied. I have three kids 14, 12 and 11 and we mamnged in the end to be pretty amicable about the whole thing, with a 50/50 share of the kids. (also being in france, if it’s 50/50 there’s no paying money every month… quite helpful for me, if not for you – sorry)
Now, i’m with someone who (remarkably) loves me as I am, I have a great relationship with my kids, or normal anyway, and I’ve learn’t to enjoy the time to myself that I have.
Assuming that you can manage to stay civil, (you’ll probably need to swallow most of what you want to say), kids seem to adapt quickly, faster than us I’d say, just beware of talking down your ex in front of them, I’ve seen it happen now several times and it never works out well for anyone.
One last thought. Even if it does get better/easier, don’t be surprised if every now and again you find yourself seething with ****ing rage over something said or done (or not done). Take a breath and take the long term view and it’ll pass. one step at a time.