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

I want to talk to someone about the house that my wife and I own. Saying, for example, "My wife's and my house is awesome," sounds a bit funny to me. What's the best way to express this?

Clarification

I'm asking specifically about the grammar of multiple nouns in possessive form. I'm particularly curious if it's possible to do this with a first-person pronoun (me). I am capable of rephrasing this in other ways - my question is not how to express the idea, but about this particular grammatical construction, if it is even legal.

As far as I know, most style guides advise against this and say there is no acceptable solution without rephrasing the sentence, as most answers here have rightly done.

If the second possessor had been a noun, you could have stuck the possessive onto the second noun only. Note that this applies only if both possessors possess the same house together:

my sister and her husband's house

This is what the Chicago Manual of Style seems to suggest. I'd rephrase that too, though.

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.