So Lydia has died, properly because of me, and after a wedding she is Lying dead in my house, half naked for some reason. So now I have a dead woman which I have put into a pit and is also have naked in my house... anyway to get rid of her?

Also, I want my Khajiit friend, Kharjo, to live in the spare room, but the bed says "owned" and I think that is because Lydia died, and she used to live in my house, so my question is, can I get Kharjo to live with me? And can I get rid of Lydia's corps?

Thank you for any awnsers.

EDIT:
I am using a PS3

If you're on the pc you can use the console and click on the body, then type 'disable'.
I don't know about adding options to get a friend to live with you.