This is the wiring method that's worked for me and I hope it provides assistance to new bucketeers. First we have the wires for each bulb split and stripped (I exposed about 30mm of the core to make the twisting easier). It's important to have the wires all of the exact same length with the exposed core of each cable beginning at the same point. Then twist the matching cables together: don't be gentle, you want a tight link. Trim the ends down so that they will fit inside of the single screw connector.
Please follow SAGs Safety Guide, it is a straightforward checklist for these kind of DIY projects, SB and beyond. You can also use plug and play parts for you bucket: for LED, this UFO light; for CFL, this handy socket adapter. Have fun!