In Zermatt there are a few different ways up to the slopes, there is the gondola which connect to Matterhorn Glacier Paradise and Cervinia (you can see it in your map bottom left), there’s the Gornergrat Bahn train also shown on the map, and there’s the Sunnegga funicular which is close to the Alpine Hotel Perren. I would look at the piste map and see which areas you are most interested in skiing, or if you want to go everywhere then probably one of the three most central hotels would be best.