Just a thought...

I was thinking, what if, for some inexplicable reason, when House's apartment arrangements have gone awry during his time at Mayfield. His landlord says that he can no longer stay there because of Reason X. In the meantime, Cuddy discovers that his hallucinations were centered around their relationship and his desire for it to develop, and remembering his proposal, "I was wondering if we should move in together," moves him in. From there, their relationship grows exponentially, "for better or for worse."