Virtually ALL solder used for electronics work has a hollow core filled with flux (some call it rosin, but that is just one type of flux). The solder manufacturers try to include just enough flux per unit length of solder to allow a good solder joint to be made. If you are filling a room with vapors, that is definitely too much solder (and flux) going to waste! Of course, if you can afford it, a fume extractor won't hurt... and it may help. But years ago, I used to solder all day long with a lit cigarette in my mouth. My work benches showed burns where I laid a cigarette down and forgot about it. So I doubt a fume extractor would have done me any good.
While learning how to solder, invest in a
"SoldaPult" vacuum-plunger operated "solder sucker".
You "cock" the spring-loaded plunger by holding the blue plastic cylinder in a vertical position while pressing down on the yellow tip held against your work bench. To use it to remove solder, you press the yellow button causing the plunger to rapidly retract inside the plastic cylinder, one end of which has a white Teflon tip attached that you hold near the molten puddle of solder your want to remove. The retracting plunger is sealed to the inside of the cylinder with an "O"-ring so it produces a partial vacuum at the Teflon tip.
You place the Teflon tip next to a molten puddle of solder, trigger the plunger to retract, and Presto! the solder is sucked into the cylinder where it instantly cools and becomes solid. Eventually you must disassemble this contraption to clean out the solder, apply a bit of silicone lubricant to the "O"-ring, and you are back in business again. This is no substitute for de-soldering copper-braid, which performs a similar function by means of capillary attraction of the the solder to the braid. Braid is quite useful, but you need both tools on your work bench.