If you think something is bothering you when you do stained glass, it probably is not the solder, it is probably the flux.
What can you do?
1. Wear gloves and wear goggles.
2. Have a well- ventilated area.
You can buy a fume trap which, will draw the fume away from you to a filter.
https://www.stainedglassexpress.com/search?options%5Bprefix%5D=last&q=fume&filter.p.product_type=
3. Have a fan blowing the fumes away. It is an inexpensive second choice, but it also cools your solder and may create problems. You have to get it just right. Close enough to blow away the fumes but far enough away so your solder is not cooling too quickly.
4. Choose your flux carefully. We actually carry many types!
https://www.stainedglassexpress.com/search?options%5Bprefix%5D=last&q=flux&filter.p.product_type=
If you want to know the ingredients of the flux you select, read the Safety Date Sheet. The is at the bottom of our site.
https://www.stainedglassexpress.com/pages/sds