If you used to solder 15 years ago then you’d want to look for leadded solder. Just follow basic precautions of some sort of fume extractor. I just use a small desk fan behind what I’m soldering that pulls it away. Yeah it does just mix it in with air in room but for hobby work it’s not going to be a big deal.

I’m also a big fan of the brass solder sponges for cleaning tips. Will clean it, the brass is softer than steel so won’t mess it up, and since you’re not using a wet sponge it doesn’t cool the tip as much

for those third hand tools, put some heat shrink around the jaws of the alligator clips so they don’t scratch up the part you’re holding