IF she stays sober, her personality characteristics will eventually settle down. I wouldn't count on their changing from how they currently are, but nine months is still early sobriety.
Which brings me to the next point, I wouldn't plan on buying a house or merging households for at least a few more months. Deadlines like "she has to move so we have to do this NOW" are asking for trouble. Decisions like the ones you are contemplating should be made free of outside pressures.
Just my experience.