There are many others much more qualified than I to make specific suggestion, so I'll talk generalities.
My recommendation is that you concentrate on getting good boots first and worry about the skis later. Find a local shop with experienced personnel to fit both of you - one that's willing to spend the considerable time and effort that proper boot fitting demands. I have to believe that with all of the skiing in the Confoederatio Helvetica, there are more than a few competent ski shops and bootfitters. Hopefully, others will chime in with specifics as far as brands and models but it seems to me that you can't go wrong with any of the major manufacturers. As far as stiffness/flex goes, again, your local shop should be the starting point. With boots out of the way, you can then look for skis.
One option for skis that you could consider would be to rent then for the season. Not sure if this is available to you in Switzerland, but in North America, most shops offer seasonal rentals for not much more than the cost of a week's rental at a major resort. Many places even give you the option to switch models or sizes during the season. Another option would be to look for something used, either on consignment at your local shop or through the CH version of Craigslist. Hopefully [again] others more knowledgeable than I will chime in with some specific recommendations for brand/model/size.
On a completely unrelated topic, my grandmother was born in the northwest of Switzerland and immigrated to the US as a young girl. I've visited Geneve and have skied a few Swiss areas in the Verbier/4 Valleys area but have not been to her hometown of Basel.
Best of luck to you in your equipment search!