My wife and I have been here 24 years. Park City is a great base for a big group, there is so much to do both on the 3 local hills and in town. If ten come out, the money you will put in shuttles will rent a car/SUV so compare that. PC has free shuttles in town from 7 AM until 1 AM so easy to shuttle or walk, depending on where you stay.
My wife and I own condos in PC but can't solicit. We also have a friend who has houses next to PCMR. Any info you need on skiing, the town, events, feel free to ask. IF you are interested in a road trip out of PC to...say, Snowbasin or Sundance, we are familiar with those as well.
Cheers, (and have fun in PC!)