Looking for studio or 1BR apartment

Hello. I'm a first year postdoctoral researcher at Stanford and at the Palo Alto VA. I study neurostimulation for depression and/or traumatic brain injury.

Interested in a place that is in Palo Alto or nearby cities. I prefer not to own a car so am looking for a place reasonably close to Caltrain or other transit.

Currently looking at places that are $1200 or less, but willing to consider something above that.

Also willing to consider roommate situations.

Thank you.