Wine Cooler hack?

Hey, so I figured out all of the components power usage and figuring out a power supply and circuit.

  1. Display - 10V 2A
  2. 2 fans - 12V 1A
  3. Peltier - 12V 5A

So a power supply of 12V 8A would suffice. I read that if the peltier exceeds the 5Amps, it will fail. How do I protect it from getting too much Amp? A fuse?