Look for studio or 1b apartment near palo alto area

Hey I just graduated from Stanford, and am looking for a private 1b or studio around the area.
I prefer private, not shared housing.
Date : mid march onwards, prefer 6m - 1yr lease
I have a well-trained small dog, and I usually cook and keep the living space clean and tidy.
Please reach out if you have any leads with pictures and rent $. Thank you!