There is a gadget that is used to unsolder electrical components
(any radio amateur who does their own electronics will recognise what
I am talking about). I don't know what it is called elsewhere, but
here in the UK it is called a 'solder sucker'.
It looks rather like an oversized syringe. When unsoldering, the
plunger is first pushed fully home in readiness, then the solder is
heated until it flows and the nozzle of the solder sucker placed next
to the molten solder. Releasing the plunger pulls the liquid solder
away from the connection and into the nozzle.
I've only ever used mine to remove electrical components (I used to
build my own amateur radio equipment), so don't know if it would
tolerate the higher temperatures needed for silver solder, but it
certainly makes it easy to unsolder connections.
In Essex, where the rare appearance of snow is causing its usual