In reply to phja:
There are two Chamonix-Saas Fee haute routes. The main (original) is high level done usually early spring on skis and crosses glaciers, some peaks and passes. I have done this one and it's superb but you need to be comfortable off piste in glaciated crevassed terrain and carrying a fairly heavy pack. Some of the passes are steep requiring crampons and carrying your skis. The climax is from Zermatt to Saas Fee with the option of taking in Monte Rosa en route (the final ridge to the summit of Dufourspitz is a mountaineering ridge - you leave your skis on the col).
The other, which is a summer, route tends to be lower but still crosses some glaciers, passes and peaks. This is more of an Alpine walking mountaineering route. I haven't done it though a couple of my mates did it in 2014.
I haven't done the Bernese Oberland route