My only regret about my stay at Los Feliz Lodge was that we were only able to stay one night.
The set-up is basically a short-stay apartment rental managed like a hotel/b&b - you check yourself in and out by way of a security code on the doors so there is no difficulties obtaining keys etc, you just turn up and let yourself in any time after "check in" time.
We stayed in one of the large apartments, villa 1501. The website doesn't do justice to how spacious it was. The property is absolutely beautifully decorated with a quirky retro-modern flavour (the name of the interior designer is listed in the information pack and I wish I'd taken note!) and there are lots of thoughtful touches - internet access, ipod dock, bath robes, yoga mats, you name it! The large kitchen is well equipped including a few basic cooking items (fresh coffee, olive oil etc).
There is a small patio with just enough space for table and chairs - for morning coffee in the sun surrounded by the butterflies that flocked to the lavender plants. The neighbouring roads are pretty quiet with just a little traffic coming past in the morning, nothing disruptive.
The surrounding area is great, with a local neighbourhood feel - lots of bars (Good Luck Bar is a must-visit), cafes and restaurants, and shopping.
Email communication from the owner was always extremely prompt and they provided a useful information pack in the villa for use during your visit detailing everything from local shops to where to go to watch the sunset.
This would make a great base for a longer visit to LA, but even for one night, it's a wonderful alternative to staying in a hotel and having a much more unique and memorable experience.