It is my first trip and I am not sure how it work with transportation from airport to the hotel. Is it expensive? Is it safe to take taxi? Is it safe to ask them to stop by grocery store before going to the hotel?

I have 2 kids with me, I am a little nervous.

I only took taxi in DR and it was not that nice. The driver kept on stopping all over the place and drive through town where people chase and through things at the car.