Looking for small dog (20lbs) friendly place apartment/room

Hi,

I'm looking for a place closer to work as I'm a female postdoc at Stanford. Preferably looking for a studio or 1bed/1bath apartment. But also open to being roomies with a cool people. My dog is house trained and gets along great with cats. I'm also considering studio apartments in SF for $1500 max so please be price competitive. Thanks for your time.