both , , of course.
depend in if you like the color of leds, even "warm" ones, some situations the lack of spectrum is glaringly different, outdoors especially.
so a easy way to "test" leds , and therin be amased at the ouput and runtime you can get with them, is a Drop-in replacement for your regular mag bulbs, both lights mentioned have many types of available Drop-ins that would not be permanent.
try and get drop-ins that have "new tech" leds with more output for the ammount of power used, High powered leds, not multiple 5mm ones, and ones with good heat sincing capability.
OR
just buy some of the new complete lights with that in it, even energyser and mag have inexpencive led models out that work ok, and use the new technology. or there is cheap stuff that costs little from china, to get a person hooked or started on the light Drugs
for rechargables setting up a AA recharge "system" with batteries and charger would be cheap and easy, it would pay off quick, the new "tech" in batteries is "LSD" low self discharging ni-mhy technology, that stays charged, and is much more usable than the old technology, with NO caveats.
the lsd technology is now (just rescently) available in C and D sizes also, or an AA can be used in a C converter shell.
then
that just leaves getting a charger that does AA & C & D cells, chargers for the large cells are a little more expencive, but worth it over the very long term.
switching to LEDs will give you about 2x runtime, putting in rechargables would give you about 1.5-2X runtime, doing both would combine to 3-4 times the runtime. using some sort of driver or device that has "levels" like low med high, would increase runtime respective to light output. all dependant on what item is used of course.
then reverse all that, and visit the Incadescent forum, to run your old mag at WAY higher output, with way shorter runtimes than you had before. or visit them anyway, because there are just better bulb items for a Mag C light.