The options to purchase real estate can vary greatly depending on what part of town you are looking to purchase in. In terms of sheer ski real estate, Deer Valley offers significantly more options for direct ski-in ski-out access to the resort with much of the area containing buildings throughout the ski runs. You can find anything from condo hotels, single family homes, or townhomes scattered throughout the resort itself.
The Park City Resort on the other hand is new in terms of what it offers. The original Park City Resort was joined with the Canyons Village area a number of years ago creating the largest resort in North America. Even though it is larger, it has significantly less options in terms of ski properties available with most of the development situated around a village base area and not on-mountain with the exception of a view developments.
Choosing locations and developments within each of these locations can be challenging if you aren't incredibly familiar with the area so it is best to contact a local advisor to assist in your search.