The continual improvement of semiconductor technology has provided rapid advancements in device frequency and density. Designers of electronics systems for high-energy physics (HEP) have benefited from these advancements, transitioning many designs from fixed-function ASICs to more flexible FPGA-based platforms. Today's FPGA devices provide a significantly higher amount of resources than those available during the initial Large Hadron Collider design phase. To take advantage of the capabilities of future FPGAs in the next generation of HEP experiments, designers must not only anticipate further improvements in FPGA hardware, but must also adopt design tools and methodologies that can scale along with that hardware. In this paper, we outline the major trends in FPGA hardware, describe the design challenges these trends will present to developers of HEP electronics, and discuss a range of techniques that can be adopted to overcome these challenges.