From metallurgy 101, the solders are alloys of tin and lead (forgetting lead free.., same principles apply and I don't know the temperatures) . Lead melts about 330°, tin about 230, and the alloys lower than both.
Electronic solder, 60/40, melted (pre lead free) at 183. That's called a Eutectic alloy; it melts and freezes at one temperature, which is what you want for electronics.
The other alloys have a "freezing range" or what used to be called "mushy freezing". In that range, you can push it about.
Alloy "D" 70 / 30 tin (PLumber's metal or Stick solder) melts between the 183 and 250 odd.
Lovely stuff, you can fill car bodies with it, if you're more clever than me.
For flux there was always Bakers fluid. - acidic, but modern plumbing flux is less or non corrosive.
For joining a bit of copper to lead which is a good fit, clean the inside of the lead and warm it up. If you "tin" the copper pipe - you can use normal plumbing solder, or electronic solder (no flux needed)for that, hammer the copper in (get rid of any lead burr you pushed up inside), then heat the copper with a big flame. The lead melts from the inside and joins well. It'll need flux in there , ordinary plumbers flux will be ok.
You can go on to heat the lead to soften it more, not hot enough to melt, , then let it all cool. Lead recrystallizes at low temperature ( even room temp) so there aren't any stresses left in there.
That de-skills the job.