If you own your home and that's what you prefer, you have the right to ask that, but it's not going to go over well with him. When you join forces, such as move in together, your home must become his, and if it were his home, same thing. Each of you would want to see your own children in your own home. This is going to cause a lot of problems if you ask him to not have his kids at "your" home. If you really love him, you're going to have to accept his children, they are a "package" and if you can't, then I see no promise of him marrying you.
As a parent, no matter where I live, I'm going to have my kids over whenever I want to. If I felt that my boyfriend didn't like them, then personally I would have to move on. A parent has an unconditional love for their children, no matter what their problems are. Blood is much thicker than water, and a normal parent would choose his/her relationship with the children before a relationship with a partner that can't accept their kids. I do hope y'all are able to compromise somehow, otherwise I can't see this working.