'As parents we have to be the ones to make everything OK for them - how can we do that if we're falling apart?'
We can't, I agree. But what if we succeeded 100%, always managed to hide our sadness? Wouldn't that set a really tough example for our kids to live up to? Of course, as they grow they compare us with others, so eventually they'll realise we're buttoning up these emotions.
Better, surely, to be honest about it when you feel really strong emotions and, afterwards, THEN you carry on to make everything OK for them.
Also agree with poster who said more worried about displays of anger and violence. As a bloke, that's the one I've had to keep a close eye on - particularly between about 4-12 - because they absolutely do push your buttons, it's no accident, they're testing you, asking direct from their subconscious, how far can I go, how much can I rely on you, dad? And again, sometimes anger - or at least annoyance - has to happen; we're not superhuman. But then you go on to make everything OK. Not so much the rock, more the glue.
I love your handle btw, Happyyellowcar