We stayed at Angela's place for nine days over Christmas, and it was exactly what we were looking for. The airbnb itself is super cute with a big comfy bed and lots of pillows, a private bathroom with an amazing shower and plenty of towels, and a coffee machine, kettle and fridge. We didn't use the kitchen in the main house as there are so many places to eat delicious food in LA but it was made clear that we were very welcome to, and it's well stocked with plenty of spices, dishes etc. The garden is lovely with a couple of seating areas, hammock, bikes (which we also didn't use because everything in Venice is totally walkable from here), surfboards and bodyboards.
Angela was extremely welcoming from immediately after booking right the way up to when we were leaving - friendly, helpful and very responsive to Airbnb messages. The evenings were a little chilly, so she brought us a space heater. The dogs (and cats) are adorable too, if less informative.
I love this part of LA - the streets around are peaceful and well-looked-after, then if you're looking for something livelier, by foot you can be on the beach in 20 min or in the bars, shops and restaurants along Abbott Kinney in ten. Santa Monica is also walkable if you don't mind it taking a bit longer.
Further afield, there are great bus links from Venice Blvd or Lincoln Blvd, and Lyft/Uber rides are affordable - we did quite a lot of hiking up in the hills north of the city (beautiful! Fabulous views, and it's so easy and quick to get out of the city and into nature), and it never felt like a drag getting there and back.
I'm missing it already and would definitely recommend a stay at Angela's place.