Take Seoul subway line 1 blue south - Cheonan line. Ensure that you are on the correct section of the train as it later splits and travels on two separate lines: the Incheon line west and Cheonan line south.
It is also possible to take a commuter train from Seoul station. This is much faster 30-45 min. and costs about 3200 Won, but runs more infrequently.
From Gangnam station in Seoul there is bus 5100 to Yeongtong area in Suwon.
From Sadang station in Seoul there is bus 7000 to Suwon.
There is a bus service connecting Castle Hotel in Suwon with Incheon Intl. Airport, which takes 60-90 minutes. The service runs from 06:20 to 22:30 to the hotel, and from 04:50 to 20:30 to the airport, every 20-30 minutes, and costs 12.000 Won.
