[Long-term Housing] Need a room/apartment from mid-march to November

I am a recent grad from Stanford currently working in Palo Alto. I am looking for a cat-friendly apartment, ideally studio or 1b1b, near Palo Alto or within walking distance of Caltrain stations.

The ideal move-in date is around March 12. I plan to stay in the area until early November, but I'm flexible about the dates.