Now there's a question. I think it's a real grey area with lots of unanswered questions.
To answer it, I'm going to assume that all new cars sold are capable of full autonomy and all cars on the road are now autonomous which we don't have at the moment.
I likely wouldn't get one, because they're naturally suited to being used as taxis, so none of the high costs of ownership apply. If I was very rich, then I would own one though as the experience is much better.
To keep this short, I'll list some pros and cons off the top of my head.
Pros
- Safety would be much better than what we have today as computers don't do the daft / stupid / malicious things that people do and true AI will solve the edge cases we have nowadays. Even now, safety is much better than a human driver and that's with mixed human / AI cars, too. It will improve massively when it's AI only. The trolley problem issue will be weighted towards survival of the occupants, not the schmuck being run over or no-one would get in them. And that's as it should be
- Make great taxis obviating the need for car ownership. It will be Uber without the driver
- Great for getting around when sick, very tired, drunk, or otherwise unable to drive
Cons
- Heavy surveillance of a user's every movement, with consequent control of where they can or can't go. This is Big Brother writ large and it's coming
- Just like a regular taxi, you can lose stuff in them by forgetting stuff on the seat
- Likely will be very expensive to own and use, including taxi services, relegating most people to the misery of public transport
There are more, but that's all I can think of at late o'clock and should be enough to be getting on with.