The hike up bowl can be intense. Full crampons and ice axe and are a must. Practice your self arrest techniques before you venture onto the snow. As the guides put it, don't carry extra socks, you can't change them up there. Carry plenty of water and make sure to have a solid turn around time and stick to it. In 2001, I was stuck on the Amonousack (SP?) trail which is closed in the winter but we ventured there anyway. With no cairyns and no trail markers, we had to turn back when we started fence posting and became fatigued. Make sure you have full exposure gear including goggles, neck gaiter, hat, gloves etc. Check the avalanche warnings and don't sacrifice safety for speed.
Again, I have to stress, get a guide if this is your first time. Having been to the summit in the winter and many times during the other seasons, I can say, I'm still not comfortable up there on my own. That mountain has a funny way of making you realize your place in the world. As my guide told me my first time up, "above treeline is where the native americans used to say the bad things lived." Don't find out for yourself the hard way.