By far the easiest airport near to the resort is Salt Lake City International Airport (SLC), which is 32 miles north west. A private shuttle can be arranged for travel from and to SLC using the following company recommended by the resort:
http://canyontransport.com
The cost is $75 per person for a round trip (plus taxes). A discount is available for larger groups who travel in the same shuttle or SUV. There is also public transport which will be much cheaper, but involves a transfer:
http://www.visitsaltlake.com/skicity/getting-around/ski-bus/
It is possible to rent a car from Salt Lake City airport ($300 and upwards per week at the time of writing). Bear in mind almost all rentals at Salt Lake City airport are fitted with all season tires, which perform adequately in light snow, but not as well as winter tires. Due to the proximity of the the Great Salt Lake, the road through the mountains leading to the resort receives a huge amount of snow (500 in annually, which is more than twice that of the main Colorado resorts). We would therefore advise caution when driving to the resort, and to avoid driving in a heavy snow storm. The road conditions can be found here:
http://udottraffic.utah.gov
and the road to the resort is State Highway 210.
