My boyfriend want to move out but still be together..because of my kids.?

I just went through a really easy divorce...for me, but it was difficult for my kids. They are still trying to deal with it. My ex doesn't see them, and now my new boyfriend has moved in with us. The kids fight all the time, and it lately seems like someone is always yelling. He and I get along very well, fight rarely, and always show affection and care for each other, and I am very happy. We have been trying together to get the kids settled in, but it has been very dificult (ie. rebellion of my 12 yr. old, constant disobedience, sibling fights, messes, etc.) We don't do anything together as a family anymore and we never enjoy each other's company like we should, but it's not for a lack of trying everything we can think of. My boyfriend told me the other day that he needs to get his own apartment, but he doesn't want anything to change between us. He says it's just not healthy for us to be angry all the time and I agree. He feels like taking himself out of the home would just ease some of the tension for the kids and supposedly up. He says he loves me, more than he has ever loved anyone, and that he want's us to eventually be able to move back in together and be happy. I don't dispute that it may ease some of the tension, for him and the kids, but I only see it getting harder on me, which will bring the tension back up in the home. Should I try to make him see this. He is dead set on leaving, has even rented an apartment already. He will most likely be moving out in a day or two. Should I just let it go and see what happends, should I negotiate, beg, I know it doesn't sound smart to do but I really am afraid that he will realize he is happier and just move on. I have read that the best thing I can do is just agree, act like it's fine with me, and let it happen. Experts even say that I should go on about my life, fill it with people that make me happy, and I agree with that too, but I don't know about the rest. It says that I should pull away a little, make him chase me some, and be less "available" to him, thereby making him want me more. I don't feel right about using "tactics" to get him to be happy with me, and I have trouble not wanting to try it at the same time because it has been proven to work. I especially don't want him to think that I care less and am being flippant about it, but it seems like it is the best way to handle it. Any advice? What are your opinions?