It's a great tour. If you have the luxury, try to time your tour a couple days after a storm.
I did it the Interconnect in the pre-Mineral-Basin-chair days, when the Snowbird to Park City tour was more difficult than the Park City to Snowbird tour. That may no longer be the case. Regardless, I toured from Park City to Snowbird. It used to be that the guides had a ski-off at Snowbird before you took off to see if everyone could handle the terrain in that direction; again, I don't know if that is done anymore. Also, the tour apparently includes Deer Valley now.
There's no extreme terrain, but there is some advanced terrain. Honeycomb Canyon, which is inbounds at Solitude, was about as difficult as it got on our tour. You should be an advanced skier to handle the terrain and the conditions on the tour.
You don't need skins, Alpine Trekkers, or Randonee gear. One couple had a nice Randonee setup, but they never unlocked their heels during the tour.
You should be comfortable sidestepping and shuffle stepping through unpacked or partially packed powder. This may seem obvious, but nobody told this to one guy on our tour, who had trouble sidestepping up through Twin Lakes Pass between Solitude and Grizzly Gulch, and it really held the rest of the group back.
It was neat to have a ski day that was bracketed at both ends with runs through untracked snow: we started the day with a run through untracked snow off the back of the Jupiter Chair at Park City and ended the backcountry part of the tour late in the afternnon with a run through even deeper untracked powder in Grizzly Gulch in LCC.