My relatives and friends in the District use Uber all the time. Über is generally their preferred public livery.

For taxis, they usually get taxis by radio, from a "sitio" (taxi rank), or have one called by their host, lodging, etc. They do not hail taxis in the street, nor do they take taxis whose driver's or shills are trolling for passengers.

There are pirate and untrustworthy taxis out there, cruising the periphery of the airport, etc.