Month-to-month stay starting 10/16/21

Hi! I am starting a position at the Stanford Medical Center in October. I am looking for a place to stay starting 10/16/21. I am open to any arrangement since I am short on time and I am only looking for a temporary arrangement (up to 2mo). My budget is up to $1500/mo. I would prefer a place that is within walking/biking distance from Stanford. Thank you!