Currently, drone services are widely used as radio platforms for modern and promising telecommunication systems for various purposes. Thus, the standards of the fifth and sixth generations of cellular radio access networks recommend the use of drones as aircraft carriers for base stations, repeaters, and user equipment. All this makes the implementation of authentication and handover procedures in cellular radio access networks based on aero-platforms quite complex, requiring significant intellectual and computing resources. But when we consider not one, but a group of drones - a swarm, the complexity of the task of continuous support increases significantly. Here it is necessary to take into account the structure of the swarm and its internal functionality for each member of the swarm. The purpose of this work is to present the results of an analytical study on the possibility of implementing effective service handover approaches to support drone swarm services in the 5G-NR cellular network. Different methods and approaches of taking into account the structure of the swarm on its possibilities of forming radio channels in the network of the mobile operator in the backbone of the base station, repeater, and user are considered. Therefore, we propose the methods of multi-level fuzzy system, drone grouping scheme and multi-criteria optimization to implement these handover approaches. At the same time, new possibilities for the implementation of service transfer procedures are shown, taking into account the requirements of the 5G-NR standard and the features of the structural architecture.