Many bus lines connect the airport with the city centre of Jerez de la Frontera and the city of Cádiz. More information is available at AENA.
The train station is just off the Plaza de Sevilla with up to 20 trains running daily to and from El Puerto de Santa Maria and Jerez de la Frontera and up to 12 regional lines to and from Seville. There are four long distance trains daily to and from Cordoba and two each for Madrid and Barcelona.
Cádiz has many fantastic hotels. The event is in the off season so prices and availability will be favorable. Below you will find a few recommendations