Addressing the operational challenges of variability and decarbonization requirements in urban integrated energy systems (UIES), this study introduces an integrated approach that holistically addresses the unpredictability inherent in renewable energy generation (particularly wind and solar photovoltaic systems) while optimizing multi-energy coordination. The proposed framework incorporates hydrogen energy storage (HES), electrolyzers (EL), gas-fired boilers (GB), and combined heat-power (CHP) systems, establishing a coordinated operational framework for optimizing scheduling strategies that balance energy reliability with environmental sustainability. By introducing a step-by-step carbon trading mechanism, system carbon emissions are effectively reduced. Empirical findings reveal that the scheduling framework successfully reconciles economic viability with decarbonization objectives, achieving substantial efficiency gain in energy dispatch processes while establishing methodological foundations for sustainable UIES transitions.