It depends on what you're looking for.
The Park City resorts (PCMR, DV, Crayons) have a "destination resort" feel with lots of amenities, tourists, nightlife, and other non-skiing activities. The Cottonwood Canyons resorts (Alta, Brighton, Solitude, Snowbird) and Snowbasin are more day-skier oriented with limited amenities, although Snowbird has some of the destination resort vibe. I greatly prefer the more laid-back vibe of the cottonwoods. YMMV.
Accommodations will be far cheaper in the valley even after factoring in the cost of a rental car, and if you stay in Midvale or Sandy you're only a 20-30 minute drive to the CC resorts, 30-40 to PC, and about an hour to Snowbasin. Take the bus if it's dumping snow, otherwise just drive up yourself.
For a three day trip, I'd say one day in big cottonwood, one day in little cottonwood and a day at Snowbasin. Alta is a must-ski, then choose your big cc resort on whether you want easier cruising terrain (Brighton) or more steep stuff (Solitude).
If you're hankering to go to Park City, then PCMR is the best of the three resorts there. It's big, they've got terrain for everyone, and lots of high speed lifts to move you around. DV is ok, but overrated, and the Crayons is highly mediocre.
Crowds should not be a factor mid-week unless a big dump of snow brings the powderhounds out. Little CC tends to be mobbed on powder days, so you might consider going elsewhere if it's dumping.