Because you're a national of United Kingdom, you'll be thrilled to discover that you don't need a visa to study in Switzerland. Rejoice!
Still, that doesn't mean you can just pack up and leave for Switzerland. You will still need to arrange a few things:
Sure, those won't be that easy to get. But, hey! - at least you skipped the student visa part, so that's something, isn't it?
Don't forget you are also allowed to work during your studies. Usually, students who are EU-nationals studying in an EU-country don't have any work restrictions. Others are generally allowed to work for up to 20 hours per week. Just make sure to check what the law in Switzerland has to say about that before looking for a job.
What else can we say but: good luck and never forget to have fun during your studies!
Switzerland seems like the type of country that excels at everything: from great psychologists like Jung and Piaget, to sportsmen and women, like Federer and Hingis, you'd have to expect that the subjects and Master's degrees are also top-notch.
Also, Switzerland is located in the heart of Europe, and, considering all the jokes about how compact the countries are, it's no surprise that you could visit 3 countries in only one afternoon, getting a true international experience to the maximum.
View Master's programmes in Switzerland!