house of Yahweh ... in the temple

Here "house of Yahweh" and "temple" mean the same thing.

Let it be given into the hand of the workmen

Here "hand" represents the workmen as a whole. This can be stated in active form. Alternate translation: "Tell Hilkiah to give the money to the workmen" (See: rc://en/ta/man/jit/figs-synecdoche and rc://en/ta/man/jit/figs-activepassive)