How much do you actually drive in fall and winter, or is your car mostly for city driving?
In my case, it went like this: I bought the tires once in August because there was a sale going on, and then they sat in my basement for three months. A pain when you don't have much storage space. Plus, in August you just don't know yet how much your driving habits might change by November - maybe you'll suddenly do more long-distance driving and need a different tire type.
The others are right that the real deals come later. But that's not even the main point. September and October is when things get really competitive with the offers, because everyone starts to panic and tire shops offer deals accordingly. If your TÜV inspection isn't until November, you've still got a nice window of time. My tip: buy sometime between mid-September and October, then you save more and don't have to store the tires for so long.