Hi,
I had private German lessons at the Benedict Schule in Luzern.
The school is next to the Luzern Trainstation. You walk out of the trainstation towards the KKL (muesum) and then up the small hill to the car park, there is a small bridge that has a sign pointing to the Benedict school. The languages department is a few floors up, but I am sure someone will point you in the right direction. Here is the website...
http://www.benedict.ch/lu,sp,GE
Im sorry I cant find the website in English but I hope it is helpful.
Also if this is too expensive the Migros also offer Language lessons, you can find information at Migros stores and on the internet.
I learnt the basics of German by getting kids books from a library. The books with objects and the name underneath in German are great.
Let me know if you need any more info...