Looking for 1-3 bedrooms housing near Stanford University

Hey SUPost! I've tried my luck sending inquiries to various homeowners/tenants on here, but to no avail. SO, here I am, trying to grab your attention elsewhere.

My name is Amel - I'm a first year PhD student here at Stanford. My partner, Jacob, works at a biotech startup in downtown Palo Alto. We've lived on campus this year, but are hoping to move off campus and experience the ~real world~ of Palo Alto/Menlo Park starting in August. Attached is a cute pic of the two of us :)

We're looking for a 1-3 bedroom place - Jacob and I would share a room, and I have 1-2 classmates who are also looking to move off campus. Ideally, no further than 3-4 miles away from Stanford.