What is your airport transportation service? I don't see anything on the web page that explains it.
You can go by subway to Andel station. 5 minutes walk away from hotel.
From Prague Václav Havel airport:
Take bus nr. 191 (the bus stop is right in front of Terminals 1 and 2) until the "Anděl" stop.
(Journey time approx. 48 mins. Fare: from EUR 2*)
I copied the above directions from the hotel website. If you wanted the hotel to help you arrange a different type of transportation, I would suggest you contact them directly.
we took taxi. airport - hotel cost app. 15-20 €
We didn't arrive via air but others in our group flew out of Prague. Cost approx USD$25. there is an airport bus. Use this link for more information search myczechrepublic
The hotel you have chosen is lovely and well situated with very easy access to public transport.
Get an answer from angelo by Vienna House Prague staff and past guests.