Visiting the bay till May

Hi folks—looking for a place to stay in or around Palo Alto for me and my dog Sora starting 3/22 (or earlier!) until 5/6. I'm an engineer and will be working 3 days in an office by campus and also spending time volunteering in a neuro lab on campus.
We're visiting from Queens, NY and just drove over this past week.

Any leads appreciated and dates are flexible!