This FRG (ITTL short: South Germany) is a looser confederation than its OTL counterpart. Its first chancellor was Leopold Figl. Politically, it's economic liberal, but social conservative. It's a founding member of the EEC and also was allowed to join NATO in 1955. Capital is Salzburg, as a compromise between Bavaria and Austria. In 1955, the Saarland (until then seperated from Germany, the French demanded it) joined the FRG.
The Bundeskanzler (federal chancellor) is the head of state and leads the government. His power is quite limited, though, since the central government has only a few more rights than during the time of 1871-1918 - agronomy, labor, police, culture, education from elementary schools to universities, and buildings are all state rights.
The five states (Hesse, Baden, Württemberg, Bavaria and Austria), i.e. their respective governments are represented in the second chamber of the parliament, the Bundesrat, which can block every law made in the Bundestag, the first chamber. Elections to the Bundestag are once in five years, starting in 1949. A party that wants to gain seats has to gain 5% of the votes in one state or win a constituency. Since Ludwig Erhard's reforms started in 1948, the economy is free-market.