In an aspect, an injection molding machine is provided and incorporates a mold block with a plurality of sides including an injection side at which hollow parts are formed in mold cavities, a first post-mold cooling side whereat the hollow parts are cooled, and a part transfer side where parts are transferred out of the mold block. Optionally additional post-mold cooling sides are provided. A takeout structure is provided to remove the hollow parts from molding cores on the injection side, to transfer the hollow parts to the first post-mold cooling side, and to subsequently transfer the hollow parts to the part transfer side. The takeout structure holds the hollow parts by their neck portions and cools their neck portions.