If you're not travelling long distances to get to the mountain...
For gear, I'd add snowshoes. Make sure your poles have snow baskets.
There are only a couple of places (the steeper slope up to Bighorn Park, the slope up to Mirror Lake and then the traverse below Trail Camp) where it may be necessary to have crampons...and then, obviously, the slope up to Trail Crest.
Go up as far as you feel comfortable...the next time up, you'll be familiar, and it will seem easier...
Keep in mind that if you're not familiar with the trail, it can be very frustrating because a lot of Yahoos go up and put tracks all over the place... (Hint, some of the .gpx files out there are pretty good...)