Grad looking for 3-12 month (flexible) lease for 1/2 bedroom appt

I am a Stanford Grad looking for housing near a Caltrain station (walking distance) or near Stanford campus. Open to SF, Bayshore, Palo Alto, etc. I would like a 1 bedroom or 2 bedroom apartment (ie the entire unit). Flexible on length of stay and price. I don't have any pets, am very clean, and just want the extra room so parents can stay if they visit.