LEDs being semi conductors so their resistance drops as their temperature increases. This means they are prone to thermal runaway if not driven correctly. Flourecent tubes also do this, and pencil leads.
Most consumer LEDs have internal current control. This includs the light strips, they have iccle switch mode power supply chips on them. So all you need to do is supply them with a stable (12v) voltage, the current rating on the supply is its max rating so best to make sure this is well above the load you are putting on it, especially if in a demanding environment.
If wiring up discrete LEDs then you need to worry about having a constant current supply to drive the LED correctly, e.g. a 700mA supply chip for a typical cree/luxeon LED.
Although I have also wired up bare LEDs to a supply, this provides illumination and works OK as long as the LED can cope with the maximum voltage that a freshly charged battery can kick out.