I had a great stay at Margaret's place, in a lovely quiet neighbourhood, very close to DT. I didn't have a car, but Margaret was willing to drive me and so she did drop me of DT (where I rented a bike and had a lovely leisurely ride around Lady Bird Lake) and took me to Mc Kinney Falls State Park (great for hiking and swimming), and dropped me off at the airport as well. Taxi from DT at night only cost about 13 dollars.
I stayed just for two nights, but the accommodation with fridge, washing machine, sitting area etc. would suit longer stays perfectly.