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This paper uses the energy hub concept to holistically model future energy infrastructure in domestic buildings, including energy storage. The developed model allows the deployment of a novel bi-criteria optimization algorithm for minimizing both the cost and emissions of energy hub operation whilst taking advantage of dynamic tariffs. Unlike the traditional flat rate tariffs, the dynamic tariffs employed in this paper reflect variations in the wholesale energy market, and are used as commercial inputs to drive the storage operation and reduce both costs and emissions. The developed algorithm and hub model are used to optimize an example energy hub against four 24 hour periods of loads and dynamic tariffs, one from each season. Annual savings are estimated and compared against a base case, with no storage or management, of a typical house in the UK, showing significant cost and emissions savings.