My room #1 is perfect to stay for your extended stays of from a month up to a few months. It's in the Hawthorne area, close to lots of restaurants and grocery stores. Very close-in location, residential, leafy, pleasant and very walkable. Private bath, WiFi, cable TV and laundry. You can't get much closer to downtown without being downtown! My place is good for people moving to town, those on a project, short term students, interns, traveling medical professionals and longer term visitors.
The 13' by 15.5' room and home are very comfortable and quiet. Cable TV in the room with hundreds of channels and HBO. You get keys to both the house and room. The house has high speed encrypted WiFi, from a high-end 802.11ac router that operates at high speeds and is very reliable. You also get a private (though not in-room bathroom with shower). There are spaces marked off in the pantry and refrigerator just for you.
You not only get a private room, but also full access to the kitchen and laundry areas, living room and back yard.
I am here most of the time and am happy to help you with directions, recommendations and most anything you need. While new on Airbnb, I have been doing extended stays for five years now, and can help you with everything you might need.
Since I am an extended stay guesthouse, I don't rent for any periods of less than a month. By booking for more than a month, you will not have to pay a transient lodgings tax, but only if the stay is 31 nights or more. So be sure to put in dates that are 31 nights or longer and you won't have to pay any taxes! The average stay here is around two months.
Parking is on street and free.