What possessive forms are used for mutual 1st person ownership?

How about:

The house my wife and I own is awesome.

This, of course, assumes no preamble where your wife (or just the fact that your married) is mentioned.

Another way to refer to this would be to make two phrases and avoid the confusion.

My wife and I own a house. It's awesome.

If you truly wanted to use a plural possessive, you could, but I wouldn't feel comfortable with any of the forms that have been presented. They all feel clumsy.

You typically put yourself last, like so:

"My wife's and my house is awesome."

That's what I say. But I don't propose that as authoritative...it tends to imply a second subject "my wife's" (my wife's what?).

Why not do it like Madness and say "Our house"?