Are you looking for a permanent solution, or something you would put up and take down as needed? Budget you want to stay under? Can you run power to the cage, or do you need an independent power source, like a generator or battery?
If they will be in an area where they won’t be in danger of getting hit I would recommend the string lights that everyone is putting in their backyards/patio. We don’t have a cage but my DD uses them when she does tee work with her net. They give off a ton of light.
Amazon has some solar LED's security type lights (2000 lumen there abouts) with a pretty large battery, motion sensitive or low power dusk to dawn that are in the $35 range.
Bump Does anyone have a good solution to putting up lights on a batting cage? Looking for a permanent solution that can run on power. Does anyone have pics of how they set up there own?