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I've got an Aoyue 9378 60 Watt soldering station with a 10 piece set of tips. But my usage of it so far has been splicing wires, doing EC3 and EC5 and motor/esc connections for my RC stuff. And that hasn't been a lot. So I have the right tools, just not a lot of technique with it yet :P
A 60-watt tool and the experience with the heavy EC3 and EC5 would likely make the pins on the wide traces easy to deal with. If removing the relay, you'd need a solder sucker or solder wick to remove solder from individual pins or a hot air rework tool to soften the solder on all pins at once.