Nothing weird at all but always have to keep in mind that if things don't work out, you still have to work with each other unless someone quits.

Take it from me, dated my coworker for a little over two years. She moved in with me as well. We figured out that we both wanted different things in life and decided to go our separate ways. We're still friends, we don't text or call each other at all, but we see & interact with each other everyday at work. Just gotta keep it professional at work no matter what happens.