The top one could be a ditch lily - and it does reproduce with runners and the clumps can get quite large. Put it where you don't mind if it overtakes an area.
I have an entire field of old daylilies - part of my family cottage property was a daylily farm in the 50's and 60's. I have transplanted about a half dozen to my house, and just love them.
Your older daylilies with the thinner scapes are most likely diploid varieties - just like my "cottage" daylilies. Tetraploids - which have been treated to double their chromosomes tend to have thicker scapes.
It is fun to try to identify them, but with over 70,000 registered varieties... well you know how difficult it gets. It is great that you are moving them to a better location, big clumps also do better being thinned anyways. Enjoy your beautiful flowers, and stop back in this section once in a while. Daylily addicts - errr "friends" are a great group here at ATP ~Jan