I'm heading to SLC the same time you are. There won't be much real powder to be had but Snowbird and the rest of the cottonwood canyon resorts will be soft and sweet. The sun is low and the cold weather will preserve the snow quality. The skiing will be excellent and even though it is not powder you will experience the greatest snow on earth. You might find a couple powder turns here and there in the trees.
I don't know much about the powder cats, but my advise is that it is not a good value if money is an issue. Personally, in many trips to SLC I have never thought it worth the bother and will spend my snowcat money elsewhere. Save the money and use it to roll the dice and make another trip.
It's a gamble, only expect real Utah powder about every 4th trip or so, but the skiing is almost always great mid-winter. Don't worry, if you have never been out there you will likely experience the best skiing of your life. The terrain is incredible and the snow will be of a very good quality, although it will be bumpy, but manageable soft bumps. Take what you get and make the best of it.
Saying all that, at Snowbasin the Strawberry lift or coming off the ridges might? yield a few short powder lines.
The forecast gives a chance of snow. We might get a couple of inches, esp up near the top. It's gonna be good!
Edited by SnowbirdDevotee - 1/2/11 at 6:58pm