Here various approaches to understanding the complex relationship among the local atomic arrangements, the distribution of charge/holes and the superconductivity characteristics are discussed for a variety of multi-layered copper-oxide superconductors. Regarding the structural parameters, i.e. bond lengths and angles, no single parameter is revealed to control the superconductivity characteristics alone. As a matter of fact, superconductivity properties are found to be correlated with the whole delicately balanced fine-structure that is described by a set of multiple parameters: it is shown that Tc and Hirr are enhanced in somewhat opposite ways. Expressing the delicately balanced fine-structure through the charge/hole distribution, it is concluded that the more homogeneously distributed the charge carriers are the more enhanced is the Hirr characteristics, while the opposite is likely to apply to the Tc value.