Here are some tips for you on Taxis . I would not take an UBER yet. The taxi drivers are resisting the competition. It's not worth the hassle when you're on vacation.
Grabbing a taxi in Playa Del Carmen is relatively easy to navigate and inexpensive. Compared to other places and even other parts of Mexico taxis are pretty cheap. Here is a simple guide so you know how much to pay for a taxi in Playa Del Carmen and some of the other details you should know.