Safe winter and alpine climbing requires all the techniques and equipment of trad climbing plus a load more, so expect to carry a fairly comprehensive rock rack (heavy on slings) with the addition of ice screws, pegs, warthogs, ice hooks, an Abalokov threader etc etc. At the same time, climbing safely in the alps and in winter depends on moving fast so it's important not to carry too much kit...
What to take and what to leave behind needs good judgment born of experience which is what you learn from all the mistakes you make in the first place!
For more information please see our Winter Climbing and Abalokov Thread advice pages, and also our pages on Alpine and Expedition Climbing.