So here's a quick video of me soldering the new connector onto the PCB.  Honestly, I did a somewhat sloppy job on it.  I was a bit heavy handed with the solder, but I'm a firm believer in "more is better than less", especially with solder joints.  I also neglected to use flux on the pads and the pins, but technically there's flux in the solder, just not as much as would be optimal.