Hemostats are your friends.
On retrospect, I made a unintentional and flippant remark to Sniffs post and would like to apologize.
I agree, very easy to overheat components when soldering, especially if soldering twice.
But I think my technique negates overheating. The secret is using a screwdriver or chisel tip on the bottom, and a long thin tip on the top.
I place the screwdriver tip flat on the solder pad not touching the component lead but close, wait a second or two to preheat the pad and through hole. Then move the tip to touch the lead as I touch the solder to the joint once, twice, or three times. I watch the flux flow over the joint followed by the solder. I'm not trying to fill the through hole, as I don't linger, just want that nice meniscus. I get in and out, and I usually find the other side needs similar.
The long thin sharp tip has less thermal mass, but allows me to precisely hit the target on the populated board. I rest the tip on the through hole edge, preheat two to three seconds, then hit it with solder as I move the tip in to touch the lead. I love watching that flux travel like a wave, then followed by the solder. Then I'm quickly out and joint is done.
I wear a Optivisor to see and do this, both elbows on the bench and face in close, little fan blowing the fumes away. Very positive I'm not overheating anything as I'm in and out quick.
Now, the most amazing thing is building SMD surface mount boards with solder paste and a hot plate or hot air. Some people even use toaster ovens or infrared lamps. Built several devices this way and they still work to this day. It's amazing the heat those SMD components will take.