SO "says" he will not take the girls around OW. But he only says that to placate you. He does what he wants.
SO "says" he will take are of the rent. But, what about when he does not feel like it? or gets mad at you about something?
I am so worried about you moving into a place that you can not afford and then having to rely on the goodness (and saneness) of SO for the roof over your head.
Call a lawyer, get a support order in place, then find a place that you can afford on your own. You can not rely on this man especially in the state (of mind) he is in.
Me 54 DS19 and DS17 Married 06/1989 Divorced 01/2011