There are only 2 wires to the carb (only on Mercarbs)- for the choke. Black goes to ground on the choke body, the purple goes to the spade connector on the choke insert.
If you need a complete engine wiring diagram, edit your question with model/hp.

What you do not say is what if any electric system you already have on your boat.
If you have the usual 12 volt system and your L.E.D. bars are rated for 12 volts then basically all you have to do is connect one end to the positive bus bar and the other to the negative. Of course running through a fuse and switch.

If you do not have any electrics then either purchase a battery pack or a marine 12 volt battery and connect to the terminals, through a fuse and switch.

From the bottom up:

Remove the propeller, inspect for fishing line etc on the shaft. Grease the shaft splines and replace the prop.
Drain and replace the gear oil. Look for signs of water intrusion.
Grease the pivot shaft and tilt tube.
Run the outboard up to operating temp, then fast-idle the engine (1500 rpm) and spray fogging oil into the carb until the engine stalls.
THIS IS IMPORTANT.... If you use ethanol enhanced fuel, drain the carb float bowl, all fuel lines, and empty the fuel filter. Add fuel stabilizer to the remainder of the fuel left in the tank.
Disconnect the battery. If the battery is fully charged, you can leave it in the boat, if you doubt the battery's charge level, or if it's an older battery, remove and store in a warmer (+5C) environment.
Wait for spring.