Hi there. It will depend on the amount of luggage you have, but the train to Circular Quay is the cheapest option if you don't have too much luggage. You'll need to walk up a slight hill to get to the hotel but it's only about a 5 min walk from the station.

If you've got a bunch of luggage then you might as well take a taxi. It's about $35 - $45 depending on the time of day.