Prague international airport with code PRG is located in the district Ruzyně and lies about 17 km north-west from the city centre. It was opened in 1937 and grew up to one of the biggest airports in the middle and eastern Europe. The airport becomes quite busy these days so there are ideas to build a new airport north of Prague in Vodochody to serve low cost companies. The airport was renamed to Václav Havel airport in 2012 after the former president of Czech republic.
Airport is quite far from the city centre but easily reachable using public transport that can take you there in about 30 minutes. You can catch a taxi or use some paid shuttle bus to the hotel if you want but bare in mind that it is usually quite expensive and you can do the same with the normal public transport ticket for less than two euros.
Bus stations are right in front of the hall of airport and you can catch here these buses: