Although we have hiked in the area we have never hiked up the Schilthorn as the weather has never cooperated. I would wanperiod clear weather for this hike. So I do not speak from personal experience. I can tell you this from photos I have seen, blogs I have read, and this map:
http://www.mappery.com/map-of/Schilthorn-Summer-Trail-Map
It is a hike, not a technical climb. The last past is steep, exposed, and rocky, but there are chains for security. If you start from Gimmelwald, you ascend 1607 meters (5272 feet) over roughly 5 miles. That makes it a "very strenuous" hike. There is one hut, the Schilthornhütte, at 2432 meters, or about 500 meters below the summit which is at 2970m. As with any hike in the mountains, you should carry enough food and water to sustain you all day, and clothing to accommodate any unexpected turns Innthe weather. Most websites estimate 5 hours for the ascent and another 5 for the descent ( although of course some people could do it faster, especially on the downhill).