The "what frame rate to use?" question gets as many arguments going as "is Canon better than Nikon?" - but unless you intend to broadcast your footage on a TV network or release a motion picture, there is no technical difference. Videos shot at 25/24/30/21.653781610 FPS will all play back just the same on a computer - indeed videos from iPhones use variable frame rates but nobody watching them would notice. Modern editing software can happily mix clips of different frame rates and render out something different at the end, if you want.
24 FPS is regularly claimed as "the frame rate movies use" but it's not true - the film stock may have moved at 24 FPS (chosen entirely to match the optical soundtrack) but the shutter in early movie projectors opens twice, so theater audiences were actually watching at 48 images per second. In Europe they used 25 FPS - no matter what anyone says, humans cannot see the difference between 25 and 24.
What you can see is the shutter angle - the ratio between the frame rate and the camera's shutter speed. If the shutter is only open for a small fraction of each frame, the images have no motion blur so the result is stuttery (Saving Private Ryan used that intentionally for effect, and early video cameras were notorious for it). The 'ideal' ratio is half, also known as "180 degrees" (literally half a circle, optical movie cameras had circular rotating shutters with a section cut away). If you shoot at 25 FPS, your shutter speed would be 1/50 sec. This creates enough motion blur to confuse the brain into seeing a continuous shot, without being too smeary. It's not a "rule", but it's a good place to begin (choosing 24 FPS you'd still use 1/50 as there's no 1/48 on a standard DSLR).
Because of this, you're stuck with the amount of light you can cram into the sensor for each frame - so one reason to use 24 instead of 30 FPS would be to eek out just a little more exposure in dark scenes; but the gain between 24 and 25 is barely noticeable. On the other hand, people often shoot at 30 FPS then play back at 24 to create a slow-motion effect - but only you know if that's something you need to do.
Shooting in very bright light with a wide aperture, you hit the problem of having too much light - film cameramen solve that with neutral density filters but if you don't have those, filming at 30 FPS will cut down the exposure on each frame and can be enough to solve that problem.
Aside from those questions, there's no particular reason not to use 24 on your camera, but it's not the most important factor in how your final result will look - the shutter angle and f/stop decide the "feel" of the movie, so don't get hung up on it.