The only direct flights from UK are BA Cityflyer and depart from London City Airport. Granada Airport is about 9.5 miles to the west of the city. It is a relatively small airport that serves mainly domestic flights, however travellers you will find a few flights to other close countries. Reaching the city is not difficult, with a taxi rank directly outside of the terminal. There is also a bus that departs hourly towards the city centre. The journey takes around 40 minutes.
Located at the foot of the Sierra Nevada, Granada offers a rich variety of landscape and culture. A popular attraction is The Alhambra Palace and Fortress, which was home to the Nasrid sultans between the 13th and 15th centuries. The buildings display the grandeur that the Nasrid dynasty brought to Granada. On the opposite hills of the Alhambra, visitors will find the Albaycin and Sacromonte. The Albaycin has winding, narrow streets with tiny tea shops, beautiful Arab houses and a magnificent view. Sacromonte is scattered with dwelling caves and has regular flamenco shows. Impressive examples of 11th century Arab baths can be found at the The Bañuelo, open in the morning and with free entry. The Cathedral and the Royal Chapel is built on the site of a former great mosque and is the final resting place for the Catholic kings. Granada is famous for its tapas culture. The best places for tapas are in the city centre, Plaza Nueva, the Carrera del Darro and the Paseo de los Tristes. These are a great way to get to sample the local cuisine and discover Granada's bar culture.
Here are some other resources that might have the information you need