You can buy fume extractors, even ones which actually fit on your soldering iron. However, your concerns are probably completely groundless?.
I was part of a government study a couple of years ago, into this very issue.
The only concern was the flux used (which has now been changed for one that's nowhere near as good!) - apparently there was a suspicion that there was a VERY slight possibility that the flux fumes may trigger asthma attacks in a VERY tiny percentage of asthma sufferers. The tests I was involved in were for service engineers, who solder on a daily basis, but not continually like on a production line.
The outcome was that fume extraction should be used in a production environment (soldering 8 hours a day), but there was no need for any such precautions in a service environment.
However, I don't even believe there was any conclusive evidence that it caused any problems in the first place, even for production workers.