I will say it's important that the soldering iron be temperature controlled. It's especially nice if it's one with the temperature sensing integrated into the tip in a cartridge (like the ones you suggested).
Also, 63/37 tin/lead "eutectic" solder is the easiest to use. Wash your hands after using it, or wear gloves. 60/40 solder is almost as easy, and cheaper. Lead-free is more difficult, especially for learning. Learn with lead solder, then switch to lead-free.
Also, 63/37 tin/lead "eutectic" solder is the easiest to use. Wash your hands after using it, or wear gloves. 60/40 solder is almost as easy, and cheaper. Lead-free is more difficult, especially for learning. Learn with lead solder, then switch to lead-free.