Pick a couple of these questions and include your answer with your Resume.
The others we can discuss at an interview.

What interests you about living in a co-housing community?

How do you expect to make a living if you join us here?

How do you react to feedback?

What social skills do you have that will help us create a cooperative culture?

Describe your housekeeping style, and honestly describe your willingness to participate.

Can you name some of the “must haves” of the community you are seeking?

What do you need to see here so that you can become “committed” or be emotionally “all in”?