By Train
You must first get to Faro Train Station, you can take a bus at the airport that takes you to the train station, the bus stop is just outside the Arrivals terminal and it costs € 1.95, once you arrive at the Faro train station you can take the train to Lagos that costs € 7.20 and is a journey of around 1 hour and 40 minutes. For more information about timetables just visit Trains in Portugal
By Bus
If you plan to take a bus you must first get to Faro Bus Station, you can take a bus from the airport to Faro Bus Station just outside the Arrivals terminal and the cost is € 1.95. Once in the Faro Bus Station, you must look for Eva buses, you can visit their website here: Eva Buses. The journey to Lagos takes a little bit more than 2 hours and costs € 5.85 one way.
By Car
If you plan to rent a car, you can do it at the Airport, from Faro to Lagos you must take the A22 motorway or the N125 road. It is a very nice journey through the coast.
By Taxi
This is the most expensive way to get to Lagos from Faro Airport, it is a comfortable way to travel, but it will cost you from € 80 to € 130 to get to Lagos.
For more information on Lagos, Portugal read the main Article: What to See in Lagos, Portugal