How to use the possessive form when referring to someone else and yourself?

How to use the possessive form when referring to someone else and yourself?

For example, how could this awkward sentence be rephrased...

We're all going to to the apartment which belongs to Christina and me.

... to use the possessive form? These don't sound/feel right...

We're all going to Christina and me's apartment.

We're all going to Christina and mine's apartment.