Postdoc searching for housing

Hi,
I'm a female Stanford medicine postdoc looking to rent a studio/in-law unit/cottage apartment in the Menlo Park or Palo Alto area. I'd also be open to a roommate situation as long as there's a private bathroom. I'm looking to stay below $1800/month. I can be flexible about the move-in date, but am ideally looking to rent starting mid-December or January.

Please let me know if you might know of a good place!
Thanks.