Location
Hotel Park City has a convenient location close to town, which served by a complimentary shuttle bus. It is possible to ski back to the hotel but it is very flat.
The easiest flights are direct from Heathrow to Salt Lake City with Delta or there are connections through Dallas or Seattle from Heathrow with British Airways. It is then only 35-minutes by car to Park City, making it possible to even ski the same day. Salt Lake City connects with over 70 US cities, so works extremely well with adding another destination as well.