My husband and I just separated 2and a bit months ago. I posted a thread about what to do and not do, was good, got a lot of pointers. I found the old motel bill on the work cc statement. I won't lie, it's a kick in the guts he chose some whore off fb over me and the kids, but really it was not a good marriage, and already I am at peace with asking him to leave.
My kids and I are having fun together. It's hard, but we don't have to put up with his moods, not doing anything with us, taking all the money for himself and selfish things/holidays.
I have explained it that it is better to live in two happy homes, than one grumpy one. That we both love them, and so on.
We are still trying to work out things. He says stupid stuff, buys them everything they want, let's them get away with murder, cancels at the last minute for ridiculous reasons (so don't tell them until he rocks up now).
I know I deserve better, so am not putting up with his lying cheating ass (can you tell I'm probably still in the anger stage laugh ).
Have you bot centrelink and child support all sorted? Also good to lawyer up (if you can afford it) to change your will, super beneficiary, etc... Have you decided if you will stay in the house? If you get the single parent pension, you can get exemptions on phone line rental, power, gas, car rego, etc...
Remember it will all pass with time, I still cry too, but in the long run it will be better. And as others have said, surround yourself with supportive and loving people. I hope you feel better soon. Good luck.