Prague public transportation - Airport = letiště, University = ČZU Praha Suchdol. The timetables of the Prague public transportation are possible to find directions on Google maps. The 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 centre is 40 minutes from the University. On Saturday, there will be a shuttle for participants from and back to the University.