I bought a solering iron combined with solder sucker three
years ago when I had a laundry folder controller to repair.

A bad 7815 had supplied 27 volts to all the 74XX series IC's.
I removed 130 dead 14/16 DIL chips (without cutting the pins)
in about 3 hours from double sided PTH boards with only 3 or
4 damages to the tracks.

I always use a screwdriver to break the remaining solder by
pushing the pin sidways (screwdriver against the flat of the pin),
on the bottom of the board (and top if its PTH)

Other times when I do cut the pins of first it is great to
clear the hole, normally removing the pin remains with the
solder first time.

The iron cost me around $30 and has a round, flat ended hollow tip
(like the white teflon end of a solder sucker)
The solder is sucked up through the tip and shaft by a conventional
spring type solder sucker that clips into the handle.
--
Peter Cousens
email: p.cousens@cwcom.net  or  p.cousens@virgin.net
smail: 48, Yarmouth Cresent, London, N179PQ, England.