I've spent the last two days partly fiddling with the new website and partly relaxing, and now it's time to have full work days again. I've been writing and translating some content for the new site, there's been re-ordering of menu items and checking links, and there has been much (and dirty) fighting with wayward CSS (not made easier by the fact that I don't know much about CSS).
However, things are finally getting more into a semblance of order than before. There are still a few issues to solve (such as no proper spot for the language switcher that will allow you to skip seamlessly from the German page to the English one), and there's some more checking and setting up to do, but I can see the light at the end of the tunnel. (Since I don't hear train sounds along with that, I'm pretty confident it will all end well.)
So... provided that I can manage to deal with all the remaining issues sometime next week, it will go live soon. I'm really looking forward to that shiny new webpage! With slideshow! And a fancy dropdown menu!