[Zanfa]

It's been awhile, but the best experience I've had desoldering ICs with many pins was with JBCs hot air extractors. They're little metal funnels you put around the component you want to desolder to contain hot air, with a tiny suction cup to lift the part once solder starts to melt.

JBCs stations are expensive though, but you should be able to use just the heat deflectors and a pair of tweezers, rather than a vacuum pump as long as you already have a hot air station.