I've owned (and still own) and dove with both. I agree with most of the LED comments and for your described situation, LED sounds like the answer unless you come on a SUPER deal on HID.
I had HID, went to LED, bought a second LED. Then I got a scooter and neither LED was 'big' enough for me. So, I got a newer HID after a comparison dive. It gave me the most light. The LEDs really started getting much better it seems right after that. And, more houses are making LEDs now. I am not sure I'd make the HID decision now, but it does put out a lot of light and is focus-able from a light saber to more of a flood.
Then I sold my scooter and started thinking about selling the HID as my LED is fine for swimming.
Just my experience.