At the airport, make sure you get into the line for registered taxis--do not accept a ride from the guys standing just outside departures. You may read about a ticket system at the airport--that no longer exists. I used Uber the entire time I was there and was fine.
The primary problem with Bogota is traffic. Be sure to leave yourself plenty of time to get to the airport. It can take 25 minutes from the center, or more than an hour.
The ride up the mountain to Montserrate (via cable car) is interesting. I would also second the recommendation for the Botero museum or the Museo de Oro. (Although, I found this museum to be a bit overwhelmingly detailed.)
Have fun!