I've got my eyes on a professional vacuum desoldering station now.
If you have access to a compressor, it's hard to do better than a Metcal MX-DS1 handpiece for desoldering. The top end stations that it comes with are the MX-5251 and MX-5250, but they're not for the faint of heart in terms of cost. Without a compressor, you'd probably be looking at a Pace ST115 or similar, which also usually runs a nice chunk of change but as a bonus allows for a decent hot air option too.