I stayed at Alexis' place in Silverlake 5 weeks during an internship in LA. I felt at home right away and really enjoyed the relaxed environment and atmosphere in the house and the possibility of sitting in the garden eating breakfast and drinking coffee in the morning.
Alexis is the best host! She is really friendly and even though the both of us were really busy during my stay, I enjoyed talking to her and I had a great time with her.
I rented a car all 5 weeks and had no problems finding a parking spot in the street outside - or just a few min. away. (It's for free).
Silver Lake is a cool neighborhood with a bunch of cafés, restaurants and clubs around the corner - Silver Lake Blvd. and Sunset Blvd. is in walking distance from the house.
My best recommendations!