I am curious Azzork why this is a concern. I see the point of view that it's possibly acting like this is still a friendship. If we can't meet and she drops off the boys all j would say is. We are having xxxxx for supper your welcome to stay. And that's that. No expectaions my focus would be on the boys.
I do see however that it would be putting myself in a potentially vulnerable situation as it is very early in seperation. And I find myself hoping she would say no. Which tells me I don't actually want her there to eat.
The person that you will spend the most time with in your life is yourself, so make yourself as interesting as possible.