All good pieces of advice.
I also want to throw out a recommendation for this sucker in particular: https://www.engineertools-jp.com/ss02
I kind of impulse-bought that recently and had to repair a device where the AC line cord was damaged and is soldered directly to the board. I heated up the joint and sucked out what seemed like a gallon of solder in one go; the wire then just fell out with no problem. I was very very impressed. For $22, worth having in your toolbox if you ever interact with large quantities of solder that may be to removed.