Magnetization programming is a promising approach in the field of robotic magnetic navigation in which magnetized devices are manipulated using externally generated magnetic fields. This work explores the design and optimization of remagnetization actuators to dynamically reprogram the magnetization of the devices to be manipulated. The influence of the material and geometry of the magnet to be programmed and of the remagnetization circuit parameters on the performance of the programming are investigated. Performance assessment focuses on maximizing the achievable torque on the magnet and optimizing the dynamics and efficiency of the remagnetization. The key findings of this study are that AlNiCo 9 magnets can deliver superior torque compared to AlNiCo 5, and that using hollow instead of solid cylindrical magnets can improve the remagnetization process with only a limited reduction in its maximum achievable torque. These findings provide an important foundation for advancing the performance and reliability of remagnetization actuators in magnetic control systems.