With that many people, it's bound to look weird living in a house together if you're past college age.
I'm a believer in one major life change at a time. You can start a new relationship dynamic, end an old one, change a living situation, change a job, start or quit school, buy or sell a home, or make another major investment, but doing more than one of those things at once is psychologically taxing. Doing more than two is very often psychologically devastating. You're talking about four or five major changes in your life. Even in the best of situations, the outcome of this will, at best, leave someone with a bad taste in their mouth in a year or two, statistically speaking.
If it were me, I'd wait another four months, continue dating other people, and give myself time to see any red flags about any of the Prince/ss Charmings involved.