You have it half right - your first sample about the car to the shop - yes, the truck took your car there..
Second is the same as the first - the ambulance TOOK her to the hospital just as the car was taken to the shop.
Easiest explanation:
You ask people to bring things to the place you are, and you take things to the place you are going. As one listener named Simone put it, you bring things here and take things there
I am going to have to remember that easy explanation.
A company I worked for years ago in the aviation field had some young interns every year - students of an aeronautical college. I had a dickens of a time - being the OLD person in the office - of explaining the difference between bring and take to them. Never did make believers out of them.
One stood in front of my desk one day and asked if I wanted him to BRING my mail downstairs to the mailbox. AGAIN, I explained why the way he had asked was wrong. When I was done with my lecture, he smiled and said, “I’m going down to the mailbox. Do you want your mail to go with me?”
Over 35 years ago and I’ve never forgotten that exchange - priceless.
Thanks