The ducks are all the necessary pieces of financial and betrayal information and a plan to progress through the next steps.
If he has lied about this and continues to lie, with the palpably ludicrous claims of information & massage, he cannot be trusted and is not the man you thought he was you thought you had married.
Your best, (superhuman!) option is to draw an emotional line. The relationship has been whatever it’s been and has produced two children you hopefully love and cherish. That’s not a failure. That’s a stage of your life. Well done for that. The betrayal and pain are now part of the tapestry of your life. That’s has happened. You can focus on the hurt and injustice and lies and betrayal and revulsion etc, or you can focus on knowing you are better than that, your children deserve at least one honourable compassionate parent who does not diminish women for kicks. You are that parent. You are the decent, loyal and reliable parent and role model they need. You represent the sane world they want to inhabit. You can choose to deal with your feelings and the changes this will have, away from the drama of your husband’s lies. You can make space for yourself without giving him the time of day. His dealings are now about the practicalities of divorce and being response for his children. You do not need to find out anything more from him. Your time is too important to waste on meeting any of his needs. That stage of your life is released.
I’ve seen several divorces close up and can say the effect on children is wide and varied depending on their characters, ages, the family dynamic and finances — strained finances and one parent “punishing” the other with lack of money or access etc is all felt most acutely by the children.
it would be least disruptive if you can agree that the children stay in their home and you each take it in turns to stay with them for however you work it out.
Relying on solicitors to deal with divorce can become expansive. Make a list of how you want the process to go. Who will realistically do what % of childcare and whose income will cover the time and money needed for the children and whoever cares for them? Every agreement you can make without arguing through solicitors will save you a lot. Consider if you have a competent friend who help you navigate this. Is there someone who can mediate between you & your husband if necessary to come to a possible solution before the solicitor gets involved.
coming up with a practical solution that both parties follow can be difficult. Be clear. Be solution focussed with him/get someone to deal with him if he’s not being reasonable so you don’t have to. He will probably behave better with a third party than you.
He has shown his colours now you can withdraw your emotional support of him and focus on yourself, your needs and the children. You deserve better but only you can make it better - he can’t be anything other than he has shown himself to be.