Congratulation for your offer . To get information you can read our guide for expatriation to Munich.
You will find information about jobs but also on accommodation in the German city and be able to compare costs.

You can also have a look of our cost of living comparison machine to get an other idea.

You might also want to read one of our latest article about cost of accommodation in Europe: you will see that Germany, although seeing prices growing, is not the most expensive, rather in the average actually.