There are several daily direct flights between Buenos Aires and Punta del Este. (Aerolineas Argentinas and Pluna Airways) Flights leave from Aeroparque that is an airport in the center of Buenos Aires ( by the River Plate).Of course this will make things easier for you.

It is a good idea to rent a car in Punta del Este because things are quiet spread out.

The distance between Montevideo and Punta del Este is 130 kms and it takes between 1 hr 30 to 1 hr 45 minutes.

Graziella - Miami Beach