Sara I don't think there's anything wrong with you. There's nothing wrong with missing your family and your home. Fact is I think you're lucky to miss them cuz it means you love your family and it sounds like they love you too. If you stop and think about it that's great. :)
i know some day when I move out i'm really gonna miss my mom and dad. And my cat too. (yeah, i've got a cat too. :lol:)
i think the main thing is you're lucky your new place is so close so you can go back and visit any time you want to or need to. I guess it's hard moving out like that even if its with someone you love. Maybe you could just try to think of it like now you've got two homes where people love you. :)