Brighton has a decent terrain park - the only one in cottonwood canyon. Snowbird/Solitude doesn't have any.
Brighton is cool cause you can ride powder/sidecountry natural terrain, chutes,bowls,cliffs,trees then hit the park in the middle of the mountain.
Also sounds like Brighton is close to where you stay, since it's basically connected to Solitude.
Brighton starting at the top of the Crest lift has a line of medium size jumps, big enough to throw big tricks, leading into medium jumps to rails, then they have a zone with tons of rails, wall-rides etc. Then at the bottom they have a halfpipe.
Park City and The Canyons will have a lot more features since they are known for their parks, they might have bigger jumps as well.
I really know next to nothing about parks as I never ride them, have only ridden Brighton this year so I don't know how Park City/Canyons is looking.