You've posted the same question to both the EMS and Fire subs; with your question specifying Christmas gift, I'm assuming you're seeking help with gift for a friend or loved one that is a FF/EMT or FF/Medic.
Myself, I work for two different agencies, volunteer FF and part-time EMT. There isn't one answer for both jobs.
As an EMT, I carry a Streamlight pen light. Good enough for general use in a dark environment, not so bright you'll completely blind someone checking pupils.
On the fire side, I *do* carry a second one of the above in my bunker gear, but only as an "in case I end up jumping in the boo boo bus on an accident call". I have a light *similar* to this on my helmet, can't remember the brand - but in addition to the forward facing beam, it also has a dimmer light that angles down about 45 degrees in front of you - not as blindingly bright as the main beam, good for close work in front of you. I also carry a handheld light with a pivoting head (pretty sure it's a streamlight, but can't find the exact model on Amazon right now); can either be handheld, or pivot and clip to my bunker coat as a 90° light.