The following is extracted from Wikipedia (links are to that site).

Bundesgrenzschutz (BGS; English: Federal Border Guard) was the first federal police organization in Western Germany after World War II permitted by the Allied occupation authorities. In July 2005, the BGS was renamed Bundespolizei (Federal Police) to reflect its transition to a multi-faceted police agency.

The Bundespolizei  is a (primarily) uniformed federal police force in Germany. It is subordinate to the Federal Ministry of the Interior (Bundesministerium des Innern (BMI)).[Ordinary police forces (which are much more sizable in combined numbers) fall under the administration of the individual German states (Bundesländer) and are known as the Landespolizei.

Landespolizei (State police) is the term used to refer to all police of any one of the states of Germany.

The Bereitschaftspolizei (literally "Readiness Police", effectively Anti-Riot Police) are the support and rapid reaction units of Germany's police forces. They are composed of detachments from the Federal Police and the State Police forces of Germany.

The Schutzpolizei  is a branch of the Landespolizei, the state (Land) level police of the German states. Schutzpolizei literally means security or protection police but is best translated as Uniformed Police.

Information on the German States can be found at Wikipedia

All insignia are Landespolizei unless otherwise indicated.