Prague public transportation - Airport = letiště, University = ČZU Praha Suchdol.
The timetables of the Prague public tranportation are possible to find directly on Google maps.
Price of the 90 minutes ticket is 32CZK, see more www.dpp.cz/en.
Taxi - available at the airport (AAA, etc.), UBER has the best price.
The Equestrian center is 40 minutes from the University. On Saturday, there will be a shuttle for participants from and back to the University.