He's never going to be the supportive H who wants to be involved and invested in family life. It's time to let go of who you want him to be.
This is going to sound mercenary but you need to start to focus on your MH and that means accessing support (cleaner, nanny) to help with the drudge, whilst giving you much needed space to support your children and for career return plan. This is who your H is, you're not a partnership, he's checked out of family life as you want it to be. Best take advantage of his current willingness to support you guilt at dropping you in it financially.
Amsterdam will be a perfect escape for someone like him, of course it will be sold as his sacrifice for his family but in reality, it will be a perfect opportunity to advance his career whilst offering a multitude of extra curricular activities for the Monday to Friday single man. As a singleton in Amsterdam, I was aghast at the extra curricular activities of expat male colleagues.
You're a single parent, practically and financially it will a lot easier while he feels guilty, then when it becomes official and housing himself becomes his priority.
My Ex worked abroad 5 days a week and I can stil remember vividly the moment I realised that I was a single parent. He always flew out on a Monday afternoon but this particular Monday he was leaving early in the morning which meant that he wouldn't take DD to pre school. There was no discussion and when I question his early departure, he said he missed the city and changed his flights to be there earlier before he started work on a Tuesday. Of course missing the city was a pathetic and ridiculous lie but it didn't reall matter whatever the truth was (OW, checking out of family life completely etc), I had already subconsciously given up on my foolish partnership ideals. It was the fact that the this was one of those rare moments that DD got to be with her Dad (even if it was only a five minute drive to pre-school) and whatever it was that he was in a hurry to get back to, it was obviously more important than her. I had long accepted his rejection of me but his rejection of DD, hurt. The checking out had started much earlier, even before he started working abroad, it's just working abroad made the checking out more lucrative.