>(BART has similar issues, if you're trying to get in and out of east bay.)
Fortunately, the AC Transit 8xx bus lines run from the Transbay Terminal in the city along East Bay BART routes after BART shuts down and leave every hour (and every half hour for awhile on weekend nights.)
There are SamTrans buses that take you between the city and Palo Alto after Caltrain shuts down but they leave every hour and take a couple of hours for the trip.
Fortunately, the AC Transit 8xx bus lines run from the Transbay Terminal in the city along East Bay BART routes after BART shuts down and leave every hour (and every half hour for awhile on weekend nights.)
There are SamTrans buses that take you between the city and Palo Alto after Caltrain shuts down but they leave every hour and take a couple of hours for the trip.