Emergency de-soldering braid

So I need some components from an old modem board for a new project. I'm trying to rescue a DPDT relay and an LM386 op ap for a mouse bot.

However, the soldering job on this board is really well done, and I'm having trouble.  So I need my de-soldering braid. Is it in the basement with my soldering kit? No.  I must have used it up.

Where's my old de-soldering bulb?  Lord only knows.

What to do?

Old coax cable. Strip off the outer insulation. Pull off the braid. Flaten in vise. 

There you go.