By the sounds of it, he wants to remain, for the moment.
Is he wanting this because he genuinely wants you or is it damage limitation, fear of being exposed to the wider world, his children's respect, his finances.
The ball is now in your court, you do not have to wait for him to decide what he wants, he's a proven liar so any words or actions for now on are pretty meaningless from him.
Take some time out and rest, self care, slow down, drop any commitments for him, do not do any housekeeping for him, no life management, rest.
He's had a good run whilst you've been busy running the household and family.
Start thinking about getting your ducks in a row, book a solicitor, get some advice, don't tell him as this could set off a chain reaction of him moving monies.
I'm very sorry, he's been selfish, cruel and very disloyal, he has broken your friendship, forever I should imagine.
It's very hard, I hope you have support if you decide to tell others, your girls seem a credit to you, it must have been so hard for them.
Try to rest, don't think about decisions yet, give yourself a little time for your body to get over the trauma, make sure you eat/drink, you need rebuild your strength.