A few more hints:
(1) The most difficult part of replacing the main relay is actually detaching it from the metal mounting bracket under the dash. It will be more difficult than what is suggested at 2 min., 25 secs. in the video. I suggest sliding a very thin flat blade screwdriver between the relay housing and the flat metal bracket to release the plastic nub out of the crevice in the bracket before attempting to slide it out. Also, when you install the new (or repaired) relay, don't remount it on the bracket until you take it for a test drive or two.
(2) If you want to remove some of the old solder without a de-soldering tool, you can make your own de-soldering braid to wick up the molten solder by peeling back the insulation on a scrap piece of multi-strand copper wire (e.g., 16 -18 gauge lamp cord).