Looking for housing starting around 10/31 (long term preferred)

I am a postdoctoral researcher at Stanford. I am looking for housing within biking distance to the campus. It can be a master bedroom in shared house or studio/1B1B apartment.
Ideally I would like to move in towards the end of October (as that is when my current lease ends), but it can be flexible to some extent. My expected rent is under $2200 with utilities included. Please contact through this post if you have suitable offerings. Thank you.