So far my experience with solder sucking irons (even with an upgraded vacuum pump) has not been stellar. I have not used mine (Ersa) in ages. I'm using desoldering braid from Chemtronics. Still, the Hakko unit mentioned by J-R looks like it is worth trying but the continuous vacuum system Tooki mentions sounds like the real solution. But likely expensive.
FYI, I found Ersa’s current vacuum desoldering iron (X tool Vario) to be disappointing, because it’s not reeeeeeeeaaaallly continuous vacuum. For those who haven’t used it: The handpiece has a mechanical valve which is normally closed. The vacuum pump has a pressure sensor and automatically pumps a vacuum, and re-pumps whenever the vacuum is lost, be it by leakage or by pressing the trigger, which opens the valve. So basically, everything behind the nozzle is kept at a vacuum until you press the trigger. The idea is that this creates a big rush of air when you press the trigger. But IMHO it’s just not strong enough, and then it takes a split second before the pump realizes “oh, the vacuum is gone, let me pump again”. And the pump isn’t that strong, so the continuous vacuum it draws is quite anemic. Given its very high cost, I’d expect way, way better.
In contrast, the other three brands I’ve used (Weller, Den-On, and Pace) all use more powerful pumps that act directly when you press the trigger, and continue to pump until you let go. In the case of newer Pace gear, the pump is initially overdriven to double voltage for about a half second to create a big initial pulse of vacuum before continuing at normal suction, and the vacuum will always run a minimum of about 2 seconds even if you just tap the trigger briefly.
All the name-brand desoldering stations are expensive. Pace’s single-channel desoldering station goes for around $1000, in the middle of the pack price-wise.