The AC wires actually have a crimped pin-plug on the end. You will have to use flux and soldering wick to clean as much solder from the so they fit back nicely in the original PCB holes.

After the solder blobs on the pins are removed, insert two pieces of heat-shrink tubing over the wires and hear them with a lighter/match/candle/hot air gun.

Make sure the heat-shrink tubing won't cover the pins at the end of the wires, else you will have difficulties re-soldering them.

Also use soldering wick to clean the two holes in the PCB for easier reassembly.