Totally understandable. In fact, I'm a bit jealous - I wish I'd asked all these questions early on too, instead of just trying to glean everything from a million different scattered posts!
CR123s are a great battery for flashlights because they're very compact and very powerful. As a result, you can create really bright, really small flashlights. The CR123s also use lithium, which is lighter in weight, stores better than alkaline AAs (which is great for emergency kits); and works better in cold environments. Lots of advantages! You can see why people like 123s...
As others have mentioned, the 123s fall into two categories: primary (non-rechargeable) batteries called CR123s, and rechargeable ones called RCR123s. Primaries are generally very safe and easy to use, while rechargeables require just a few caveats before use. (Mainly, you want to make sure that they're properly recharged, and used with other batteries that have a similar charge.)
One of the things that really confused me when I first started reading about flashlights was voltage. I was a little hesitant to use 123-based lights because I didn't want to damage them; people were saying all sorts of things like "this light works on 3-8.4 volts"...and I had no idea what that meant. Turns out it's pretty easy!
Voltage is basically a measure of the strength of a battery. Imagine a fire hose: if you turn up the pressure, water shoots out with a lot of force. That's voltage ("V"), and it helps determine how hard you can drive an LED (or the filament in an incandescant light).
Some lights are really finnicky about their voltage. For example, Surefire's P60 bulbs require 6 volts. As a result, two regular 123 batteries, which create 3 volts each, will work perfectly (3+3 = 6). But if you try to use rechargeables, which have a slightly higher voltage (3.7v), you'll blow the bulb, because 3.7 + 3.7 = 7.4v. (Sadly, I have no idea
why rechargeables have a different voltage than primaries.)
Sometimes you'll see lights that can take a whole range of voltages - for example, "
from 3.8v to 9 volts." That makes the light very versatile, and lets you use lots of different battery types. In other words, any combination of battery voltages within this range will power the light. So that 3.8-9v light I just mentioned could take either 2 regular 123 batteries (3+3=6v)
or 2 rechargeables (3.7+3.7=7.4). If you wanted a longer runtime, you could even use 3 primary batteries, since 3+3+3=9. This would give you 50% more runtime, and the light would still be fine.
Hopefully you'll overcome your aversion to 123-based lights; all the best lights use CR123s!
Hope this helps!
- FITP