Should my wife and I find a roommate?

Currently, we live in a small two bedroom, one bath apartment. We want to move into a house, with a yard, so we can have more room. Due to the high cost of living in L.A., renting a house is quite pricey (average $2500 for a 3 bedroom in a not so nice area). My wife’s friend is interested in splitting rent with us so that we can all have a nicer placer to live.

The woman in question is quiet, clean, responsible, and super cool. I’m sold on the idea. My wife thinks it’s weird to be married and have a roommate; she doesn’t like the idea of it not being just us anymore; This is really the only thing holding her back. I’m willing to give up some privacy for a bigger place to live, but she is apprehensive.

What would you do? Is it weird?