Utah Avalanche Center for discount lift tickets, or canyon sports has them pretty cheap as well.
You are coming out at a great time it looks like, Tahoe is going to get pounded then that storms is rolling right over Salt Lake City.
I personally would hit big cottonwood on Friday or Saturday, head north to Ogden on Sunday, and hit little cottonwood on Monday and/or Tuesday.
I would do it like this for a perfect trip.
Friday 3/16 - Brighton Resort, Big Cottonwood Canyon
Saturday 3/17 - Solitude Mountain Resort, Big Cottonwood Canyon
Sunday 3/18 - Powder Mountain Resort, Eden, UT
Monday 3/19 - Snowbird, Little Cottonwood Canyon
Tuesday 3/20 - Canyons, Park City, UT / Snowbird, Litte Cottonwood Canyon
Takes you to 4 possibly 5 incredible resorts that all offer something different. I rarely recommend someone ride in Park City when they come out here, but it would be fun to experience all 3 of Utah's major hitters.
Also, these are laid out in order, by day, so you will get the most powder (if available) with the least amount of crowds so you can get the most runs in. Do not, I repeat do NOT go to snowbird on the weekend. It's miserable riding up in the tram with a million people killing each other for fresh tracks, which are gone by the time you get back on the lift. Snowbird is a great resort, but it's even better on a weekday.
Of course, I would follow the storms. Utah's resorts are VERY close together, yet can receive quite different accumulation totals. Brighton/Solitude/Snowbird usually get the most snow, Powder Mountain next, then little ole' park city.
Check Wasatch Snow Forecast
for weather, and SkiUtah.com for snow totals, and a cool map http://i.imgur.com/Tnx8w.jpg