If you walk out of the main terminal and look left there is a bus stop, this one runs to Westbahnof (second stop). You can buy a ticket at the machine where the bus stops or from the driver. Suggest return ticket. When you get to the bus stop at Westbanhof (there's a shopping mall there), turn right and take the first right - walk along this for about 10 minutes (we ambled) and you'll see a red and white shop sign on your left hand side (can't remember exactly but something like NFL!), turn down that road and first right - bingo, you're where you need to be. We just called, said we were outside and Bellal came out. He was very helpful. The apartment has everything you need for a short-medium stay in Vienna. We would definitely go back.