I will update this systematically as I proceed with the following instructions I found:
Update: That seemed to have worked. Now to install Homebrew via:
Edit: That link suggested the more reliable instructions to be found here:
Edit: That seemed to have worked too, but "brew doctor" has some things I need to pay attention to before I can declare this a success.
It would appear I had forgotten about Fink. Home Brew says I do not need to uninstall it, but my instincts tell me that whatever Fink installed probably needs to be uninstalled or moved into some sandbox.
The appropriate command appears to be:
fink purge `fink list | perl -lne '/^\s*i\s+(\S+)/ and print $1'`
Edit: Okay ... it skipped "Essential and Virtual" packages, and while purging complained of packages in the list that weren't actually installed. What a mess. Let's hope my machine holds after this. Going to remove /sw/bin/fink after this.
My current solution to fink is to:
sudo mv /sw ~/MyFinkArchive
and comment the line in my .profile trying to invoke init.sh in the Fink archive.