Hi SadAV Welcome to the forum, you've reached out to a great group. I'm on the other side of what you are going through, I came out to my wife of 20 years last year. I too, have 2 kids.
It gutted me to come out to my wife. I love her so dearly-and I still do. You sound so much like my wonderful wife. She loves me still, and supports me despite being on the end of the news I gave her. I came out due to shame/guilt/depression that almost cost me my life.
Jackson & Alexlisa have given some great advice, I can only agree with them. Whilst you are trying to support him with his journey, you are trying cope yourself. This may be quite difficult. You need to be honest with him on how you are feeling too, and he needs to understand what you are going through, he needs to give you time to mull over and ask any any questions you may have.
My wife and I continually communicated with each other, it wasn't always easy, there were many tears from both of us, but with calm discussion we were able to work through it and what our lives looked like going forward.
Definitely seek some counselling, there is a LGBT peer phone counselling service that you can contact called QLIFE - google them for their details. Whilst they are LGBT they can help 'allies' of LGBT people too. They can recommend a LGBT friendly counsellor or psychologist for both you and your husband. Though you don't identify with being LGBT, an LGBT counsellor can shed some light on situations that a non LGBT one can.
My wife spoke to an "everyday" counsellor, but got a great deal more comfort from spending some time with the gay counsellor that I was speaking to. He was able to clear up the questions that she had as to "how could he have loved me? yet married me knowing he was gay?" - amongst many others.
It is really important that you keep communicating with each other, not only do you have each other to consider, you need to consider the kids. unfortunately as parents, we don't get to put them away in the cupboard and forget about them whilst we deal with these important issues.
Can I ask how old your kids are? at the time I came out, my son was 16, and daughter was 10.
I moved out of the family home 6 months after coming out (last November). It has been difficult for both me and my family, but I see them all a number of times each week, talk almost every day. We have started to settle into our NEW "normal".
We all still love each other, and support each other.
Keep chatting as you need.