Retired Airline Employee/Dog Lover Needs Housing

I am looking for economical, simple, and safe living accommodations (room, in-law/duplex/converted garage/etc.) with safe parking. I am an ideal tenant who likes clean, quiet spaces. I also don't smoke, drink, or expect many house guests. Between working, volunteering, and traveling, I am hardly ever home. I have a 13 year old medium size male rescue dog, named Shadow, that loves to lounge around. The living accommodation must be one level without a swimming pool, because Shadow can't handle walking up stairs, and he can easily fall into a pool.
I am a single mother who has two daughters that attend Stanford University and live on campus full time. They may stop by to say hello occasionally. I work full-time in Menlo Park and have an occasional part-time job in Santa Clara. I have excellent references, a flawless background check, and great credit.
I'm looking to live in Palo Alto, Redwood City, Mountain View, Sunnyvale, or Menlo Park area. My goal would be a 1 year lease at $1000 maximum rent, which is flexible. I'd love to move on July 1st.
Thank you for reading my post. Please pass this on if you happen to know of someone who is looking for a perfect tenant.

I'd prefer if you contact me at (650) 316-9764 instead of my email.