An apparatus comprises a processing device configured to obtain information associated with services hosted in an information technology infrastructure comprising a core data center hosting a first subset of the services and edge computing sites hosting a second subset of the services. The processing device is also configured to determine, based on the obtained information, values associated with parameters characterizing suitability of hosting respective ones of the services at the computing sites, and to generate, based on the determined values, scores for each of the services. The processing device is further configured to identify, based on the generated scores, at least a given one of the services to be migrated from the core data center to the edge computing devices or from the edge computing sites to the core data center. The processing device is further configured to migrate the given one of the services.