@Zee81
I am not sure what the bookings look like at the various instructors...but this is the high season and finding a free spot with the limited time that you have available, could be a bit tight.
Insurance...is quick and easy. If you do it online, the insurer sends the confirmation to the vehicle licensing department (Strassenverkehraamt) electronically...its super quick.
Sorry if that was off-topic and something you may well be aware of already.