Weekday commuter + small, trained dog for 4+ month rental

Looking to rent a room near Palo Alto for me + my small (not-yappy) dog to cut down on my commute for the rest of the academic year. I'm a doctoral student who went back to school in my 30s. Will mostly just be there Monday through Thurs/Friday.

About my dog: He is a 15#, trained, housebroken, chill, people-loving, non-shedding, lovely little canine who acts a bit like a sleepy cat. Oversell? Neighbors past and present will happily provide references.

Available ASAP/flexible, furnished or unfurnished. 4 month rental preferred.