Replying to Skiing utah

hello. i am coming from new york for a ski trip to utah in january. i am staying at park city and skiing four days. i was told to ski park city friday, then head over to alta and snowbird for the weekend, then back to the park city area for monday.

is this a good plan? i am looking for awesome terrain to ski over a sweet park. i know park city's is sick, but i want to ski some steeps and bowls and stuff. how lo9ng does it take to get from park city to alta, if there is good weather? let me know what the best plan of action is. thanks a ton.