As a German passport holder you have the automatic right to live in the UK, and to work here. No visa (or other formality) is required.
If your wife holds a passport from Iceland, Liechtenstein, Norway or Switzerland she also has also has the same automatic right. Otherwise she needs to apply, at your nearest UK embassy or consulate, for an EEA family permit: http://www.bia.homeoffice.gov.uk/eucitizens/ri ghtsandresponsibilites/