I believe from “factory” one part of headlights is high beam and one is low beam. I’ve got the quad set up as well but i chose to run my headlights either all low beam or all high beam. The 4x6 headlights are H4 plug which i would recommend picking up from an auto parts store.
Now, H4 has 3 wires, “low beam” “high beam” and “ground”. I’ve spliced and doubled the wire for the low beam into the “low beam” on the 4x6 headlight and added leads to “ground” . Any good grounding location on the body.
For the high beam, I’ve taken an automotive relay, and wires the coil wires (the one which switch the relay on and off) to the stock high beam wires. I’ve fed power and the output to the normally open contact, so when you turn the high beams on the relay energizes and sends power to the “high beam” wire on your 4x6 headlights.
You cannot just splice H4 and 9005-9006 because the high beam is negatively switched, meaning both leads to the high beam stock bulb are energized. When you turn the high beam on one of wires becomes a negative.