to reach homestay from airport can take with two option; Bus TransJogja (shelter located near to car parking area airport) with route 3A and dropped in Condongcatur Terminal, from there take a walk (700 m) very cheap price IDR 3500, or take taxi from airport, it's only 15 minutes drive please try negotiate on IDR 60.000. From Train Station will be easier to take taxi that near to the main street (cheaper).