8:20a They also brought 220 of the temple servants,

They also sent to us (excl.) two hundred and twenty (220) temple servants.
-or-
Two hundred and twenty other men were also brought to us to work in the temple.

8:20b all designated by name.

All of their names were written down.
-or-
I wrote/recorded the names of all ⌊of the two hundred and twenty (220) temple workers⌋.

8:20c David and the officials had appointed them to assist the Levites.

These were a class/order of workers that ⌊King⌋ David and his officials had appointed/assigned to help the men of the clan of Levi.
-or-
⌊King⌋ David and his leaders ⌊long ago⌋ gave ⌊the ancestors of⌋ these men the task/job of serving the descendants of Levi.

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