If you're referring to a house that you own:
* Notre maison (most common and general)
If you're referring to the house where you live:
* Notre logement (more general, can refer to any type of residence)
* Notre appartement (if you live in an apartment)
* Notre demeure (more formal and poetic)
If you are talking about a house belonging to a group of people:
* La maison de notre groupe
* La maison que nous partageons
It's always good to consider the specific context to choose the most appropriate translation.