Why not start with the goal of skiing each lift! Are you an expert skier? There is plenty of expert terrain, everywhere!!! available from just about anything!
Fantasize on these maps.http://www.snowbird.com/ski_board/trailmaps.html
For sure, you want to take 2-3 runs down Mineral Basin, the line will depend on your skill level and the conditions that day. Of course, you will not want to miss riding up the new Peruvian Express and taking the tunnel to MB. Packing into the tram with 125 other Snowbird skiers can't be missed, make sure you stand next to the window on the right or up front or in the back for incredible views of the alpine steep! scenery.
Little Cloud Bowl is one of my favorite places on planet earth and I never tire of skiing it. Look for powder stashes on the downhill sides of the little hills in the bowl. For steep skiing go all the way to the right and ski down to the Little Cloud lift. Take the Road to Provo to experience a VERY LONG traverse and pick your line.
Take the undulating Black Forest trail down to Gad II lift. Then if you dare, ski under the Gad II lift, nice and steep, faces completely north, it is steeeep and snow is sweet, ALWAYS!!!!
From the tram, take the Crique Traverse, lean over and look at the very steep shutes on the right, jump in if you dare, or you will likely feel more comfortable skiing down the ride to the Peruvian Cirque which is fairly steep, but nice and comfortably wide if you want to wind your way down.
If you are an expert, follow the little tracks off into the unknown and/or enter the NUMEROUS double black gates that are found all over this wonderful mountain.
If you have decent luck, there will be fresh snow, but even without that, the conditions are likely to be just fine. You will notice the difference. Maybe you will become a Birdman like myself! If you are not a very confident expert, be careful with the gates, there is easy trouble to be found at the Bird for the overzealous. (I'd skip Wilbur Bowl until you are sure you are comfortable skiing the very steeps!)
One more, if you are a bump skier and fit, try to see if you can make all the way down the 1200 ft of unrelenting and usually soft bumps down Primrose Path from the tram. I can do it!
Do you like to feel the pull of gravity while you are skiing, that is very easy to find at Snowbird. If you like to explore and delve into the unknown, off the beaten path, this is the place to do it. (take Gad II left and keep going left, left, left along the left side of the ski area boundary.) P.S. - when an area is roped off at the bird or posted, heed their advice!!
A Snowbird Devotee