Needed: 1Br/1Ba or Studio for small family from the end of Aug

Hi, I am a graduate student from Poland who received a Fulbright scholarship to conduct research on music and economy at Stanford University. My wife received a scholarship from the Kosciuszko Foundation for her own research on early music performance in San Francisco Bay Area. We will come with our 2-year-old son by the end of August and stay there till the end of May.
We are looking for an affordable flat not far from the Stanford University. We would be happy if we can find something with 1 queen bed and 1 bathroom, possibly a studio or a medium size apartment. Parking space would also be desirable as we plan to buy a car. We would gladly arrange for a video call (via Skype or Messenger) to see the flat.
If you have an apartment suitable for us, please write to me at pawels@stanford.edu.
Since we are both music scholars I attach our family photo with Beethoven.
Best,
Pawel Siechowicz