PetzLUX

For the bus:
Purchase the tickets from the driver or the kiosk outside the terminal. When stepping out of the terminal you have the kiosk directly next to one of the exits.
Bus number is X95. It drives approx. every 15-20 min.
Price is 5 Euro per direction per person.
You have to validate the ticket inside the bus.
Ride to the hilton takes around 40 min. (Depending on traffic situation.)
When looking into driving direction you will see the hilton on the left hand side, easy to recognize with the hieroglyphics on its facade. Get out there and cross the junction to the hotel.
Bus to airport is on the hotel side (just to the right when stepping out of the hotel). Purchase ticket from driver. Don't forget to make a sign to the driver when the bus is approaching the bus stop, otherwise he might not stop.