One of the best sources of personal protection equipment is the MSDS (Material Safety Data Sheet). For Kester 44 is's here:
https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CD0QFjAD&url=https://www.kester.com/download/44%20Flux-Cored%20Wire%20Lead%20Alloy%20SDS.pdf&ei=gwerU5PpDYuLyATe1oKoAw&usg=AFQjCNHaZmk1pRFvke1oJZIlaDhYJcrFCg&bvm=bv.69620078,d.aWw&cad=rja
It spells out the hazards and disposal so you don;t have to guess. Unfortunately, you can't do air sampling and have the results analyzed.
Taking the MSDS to the non-scarey level means (my interpretation) - A closed room isn't good. A respirator is always a good thing.
be careful about eating a drinking around solder. Longer term might require gloves. Longer tier might require a solder extractor.
Since working in a lab, I do pay attention to PPE (Personal Protective Equipment). I do wear glasses which is help. I change the type of glasses depending on what I'm doing.
I use a respirator for raking leaves or cleaning gutters, so I need the mask for asthma issues or mold exposure. I'll use it when sanding and spraying trees or putting down herbicides. At one time I was fitted with a real respirator, but I haven't purchased one,. For home, I would prefer a full face shield or air powered respirator, but I can't justify
I just bought 600 or 6 pkgs/100 of vinyl gloves. They are indispensable for cooking, cleaning, using solvents and painting. With the Herbicide handing, I use Nitrile.
So, it may not be "full-blown", but it's a help. e.g. Herbicide/Pesticide: Goggles; Nitrile gloves and change clothes and wash separately immediately and not the additional protections of a Tyvek suit+booties and air-powered respirator. I buy respirators with the exhalation valve by the box and they are MUCH cheaper than one at a time.
Plumbing soldering might cause more fumes than electronic soldering.
Do, I solder with gloves - no. Do I eat a sandwich while soldering - no. If I soldered 8 hrs a day would I use gloves - yes.