Mellisa and adina, thank you both for your inputs. you gave me very good points.
H is that kind person who does not help a lot with housework and kids' things if both of us are home.
H's plan is that the kids stay with me every day but he will pick up them from after school at 6:30pm and bring them back home; then he stay here until they sleep. I feel though he is willing to spend time with them every day, he does not take the full responsibility to kids. While he is here, I still need to cook for him and watch the kids as well. He just stay here and watch his iPad when the kids do their homework. That will be the same what we are doing right now. the only difference is that he will sleep in an apartment and we will not see him in the morning time.

His apartment is not close to our home and school, so it is not convenient for the kids if they sleep there during weekdays, but they may sleep there weekend. In such case, It is no need for H to come home every weekday.

I am planing to talk to him again about this issue today. I will take your advices and try not to push him as well.

Btw, have a nice weekend.

M 18 yrs
5 & 7 yrs old kids
H DB in 4/2013
H moved out in 11/2013