Looking for a 1 bed room flat close to Stanford Campus (for July)

Hi there,
I am a postdoctoral researcher at Stanford university. I am looking for a one bed room flat close to campus (up to 5 miles) to commute by bike. I expect to move in beginning of July with one or two weeks leeway. I can pay around 1800 to 1900 (per month!) for rent and aim for a one year lease. Looking forward to hearing from you!
Best,
Al