Quickly came to tell you a bit of my hiking in Zermatt week ago. For me the weekend was mainly work, but I managed to squeeze in few evening runs/walks and one big Sunday hike in the moody gloomy weather (the days working where nice though).
There’s so much more in Zermatt than this and so many more good trails and especially elevations for even more awesome hikes, and for the biking as well. In other words, these aren’t anything suuuper amazing in the Zermatt scale (which reaches kinda high btw). But still, I would especially suggest checking the village of Z’mutt and the Schönbielhütte. Those were nice even in the bad weather of Sunday, when I did about 24km hike to the Schönbielhütte and back through the Z’mutt, and I can imagine how awesome they are when the big mountains and glaciers aren’t hiding behind clouds.
For a combination tour of the same kind or the kind of a shorter evening run/hike I did (about 5km), I would suggest going up to the restaurant Edelweiss (maybe good for food and drinks too, I didn’t try so can’t say sure though) from the church and making a loop which again on a good weather would give a nice view to the Matterhorn. And on the Gornergrat side of the village, I just did a little evening walk on (apparently) amazing trails for biking too, which for once gave a nice view to the Matterhorn. In there, you might also give a try in the restaurants bit more higher – to which you might also take the train – for me it was too late for a meal and walking further on before dark, so turned back and had about 7,5km hike.
You may see all the loops I did in the map in here, two of them with the starting point by the Zermatt Kirche (in where you can fill your bottles easily with fresh water too) and the one on the right on the Gornergrat side starts and ends in the map at the Zermatt Youth Hostel.
Oh, and say hi to the sheep and goats if you see them – Zermatt has a very special kind of creatures in addition to the special trails.