We booked Allison's place in Echo Park at the last minute (literally for the next day) and got really lucky! Allison's apartment was exactly what we needed with our one year old. The deck area was a great playground for our son and the location ideal for shopping as well as for site seeing.
The place was clean and tidy, with everything needed to cook and spend some time. A TV would have been a great plus but we were fine without one after long days outside. The wifi network doesn't work so well.
I would definitely go back to Allison's place when I visit LA again. She was a great host, always present when needed without being intrusive at all!