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Just to make it clear, you do not have to register yourself with any German electricity provider to have electricity as, they are required by law to provide uninterrupted service (EnWG § 36 Grundversorgungspflicht).
The local provider that came with the house will eventually send you a letter asking for payment. With this document, you simply list the date you moved in, and you will be responsible for all of the charges since then. As defined by law, this standard contract can be cancelled by giving two weeks’ notice, in this time period you can compare different electricity providers and choose the one that fits in your budget.
