Thank you for all of your thoughtful responses! I do not yet have a desoldering iron, it seems I made a critical error on my Rat Shack run the other day in forgetting it.
I'll post a more extensive follow-up tonight when I'm at home with my speakers. I have decided to prioritize the EPIs and the Advents; the Sansui 771 is lower on my list of concerns, since it is just a temporary solution to main receiver. I've looked over the link re: Advent crossovers, and I'm sure it will be useful to me as I work through this process. I have many follow up questions, as I am new to this process, but I'm looking forward to starting new projects.
Just to note: I have soldered before, but this will be my first stereo project involving soldering. Other than the tip to get solder with 5% silver (which I will need to do), and the desoldering iron that I still will need, am I missing anything critical? I don't have a multimeter, but I think I've read enough times that I won't need one for at least the straight-forward jobs like simple crossovers that I'd prefer to hold off on that, for cost reasons. I know they can be had relatively cheaply, but everything starts to add up pretty quickly!