Cities throughout the world are facing significant issues in terms of expanding urbanization. One of the key challenges is the increased amount of generated garbage and pollution due to the high demand for food and other necessities. Public waste bins are filling up faster than ever, and many of them overflow before being collected, resulting in blocked streets and unpleasant smells, as well as detrimental health and environmental effects. Overflowing garbage is a public nuisance and an eyesore, in addition to causing other health and environmental problems. Everyone desires to live in and visit places that are clean, fresh, and healthy. A smelly city with waterborne diseases and garbage all over the place does not attract visitors or investors. As a result of inefficient garbage management and recycling, cities continue to lose money and lose out on revenue advantages and job opportunities. Because of the uncertainty and complexity of garbage disposal and minimization of the environmental effect, a multi-attribute decision-making method based on a dynamic spherical fuzzy weighted average and uncertain dynamic spherical fuzzy weighted average aggregation operators are proposed to evaluate the site selection scheme of garbage disposal plant, and support for decision-making of garbage disposal site selection. In this study, firstly, spherical fuzzy information based dynamic and uncertain dynamic aggregation operators are integrated. Meanwhile, some interesting properties of the proposed operators are analyzed. Then, a multi-attribute decision-making method is established using proposed dynamic and uncertain dynamic aggregation operators under a spherical fuzzy environment. After that, a practical case on evaluating the garbage disposal site selection scheme is given to verify the effectiveness of the proposed method. The results show that this method boasts more expansive space for information representation, more flexible adaptation to the evaluation environment, and stronger robustness of the evaluation results.