Till now I never thought that this had anything to do with JWs - but - when my brother and SIL seperated, she rang each of us and our families and made sure we knew that he'd been unfaithful. Nearly wrecked our family get-together.
She also got the word around in the community where they lived. I had put this down to irrational bahaviour due to the pain of seperating.
So, definitly, I'd say your kids are entitled to know your version of what happened. Perhaps as others have suggested, not every detail, but your perspective.
Only other thought - your children probably do know more than you think; it's not possible to live in a house with a strained relationship and not be aware. My brothers kids were very affected by the time before the breakup, more so than the break itself.
Wishing for a good outcome, Retro