We are just back, and here is the update. We decided to use A&E Limo due to very positive reviews on Yelp. They were fantastic!! We used them for car service for 4 adults and 2 kids in boosters (and a lot of luggage) one way from SNA to GCH. We wanted a large SUV, and they have this option to book online. I booked it online, got an immediate quote and email confirmation. They emailed the day before to say they'd be at the baggage claim with our name on a sign. We arrived and Kevin was there, smiling and beat us to baggage claim. We asked for and got a large SUV (Denali). We also booked a 15 minute grocery stop (he took us by Von's), and Kevin loaded up all the groceries. I brought our own boosters because we were renting an SUV later in the trip, but they can also provide them. Kevin was very helpful with tips about Disneyland and the area.
Then got an email from Adir, the owner, afterwards, making sure all went well. I can't say enough good things about this experience. I didn't want to do a shared shuttle due to car sickness issues with stopping and starting, as well as due to time (get me to the parks!!). I had read so many negative reviews of even dedicated shuttles, so I was very pleased to have found this service.
http://aeworldwidelimo.com
Yes it was a bit more pricey than a cab or shuttle, but for 6 people and a grocery stop, that would have added up too (and we couldn't fit in a regular cab). The total price, including grocery stop and 20% gratuity, taxes and fees (tolls), was $209. Per person, that was $35, which was well, well worth it to me.