Short term Housing Needed

Hey all! I’m a Stanford senior about to graduate by the end of winter quarter and moving out of university housing in late March.

Looking for a short term and potentially longer term housing from March to June near campus.
I’m currently in grad school application cycle with a flexible job at the university

Little info about myself - quiet at home, responsible, clean and well organized. Work schedule is pretty stable most times (9-5), except for some possible late nights.

Budget is 1,300 including utilities. No need for parking but preference for possible in unit laundry.