en_tn/neh/12/24.md

who stood opposite them to give praise and to give thanks, responding section by section

This refers to how worship was organized as "call and response." A leader-group may call to a single response-group or to two response-groups during worship.

obedience to the command of David

King David directed how worship was to be organized and led by the Levites.

gatekeepers standing guard at the storerooms of the gates

"gatekeepers who guarded the temple storerooms by the gates" See how you translated this in Nehemiah 7:1

in the days of

"during the leadership of" The date was fixed by listing those in charge at the time.

Hashabiah, Sherebiah...Jeshua...Kadmiel...David...Mattaniah, Bakbukiah, Obadiah, Meshullam, Talmon, and Akkub...Joiakim...Jeshua...Jozadak...Nehemiah...Ezra

These are male names. (See: rc://en/ta/man/translate/translate-names)