They will DEFINITELY root. And as Nozzlehead said, looks to be Willow.
Juuuust make sure they have enough roots for your cold winter... and don’t “transplant” them FOR winter after august, I wouldn’t transplant them at all until spring, personally... Id recommend just leaving them THE HELL alone... that’s a big “secret” for Spring/summer cuttings!

Having said all this.. Salix are notoriously tough... but i’d still “treat them right”