取とり次つぎ

〈物もの〉の取とり次つぎをするto act as an agent or distributor for something
この会かい社しゃは海かい外がい商しょう品ひんの取とり次つぎをしている。
This company acts as a distributor for overseas goods.
来らい客きゃくの取とり次つぎをするto receive and announce visitors
受うけ付つけは来らい客きゃくの取とり次つぎをする仕し事ごとだ。
The receptionist's job is to receive and announce visitors.
〈人ひと〉に取とり次つぎを頼たのむto ask someone to pass on a message or call
秘ひ書しょに電でん話わの取とり次つぎを頼たのんだ。
I asked my secretary to relay the phone call for me.

Kanji

仲ちゅう介かいN1sense 1
仲介 stresses mediating between two parties, often to resolve a deal or dispute, while 取り次ぎ is more about relaying messages, visitors, or goods without necessarily negotiating.
代だい理りN2sense 1
代理 means acting as a proxy with authority to make decisions on someone's behalf, whereas 取り次ぎ just channels information or goods without that decision-making power.
伝でん言ごんN2sense 3
伝言 refers specifically to the message being passed along, while 取り次ぎ refers to the act or role of relaying it.
案あん内ないN5sense 2
案内 focuses on guiding or showing someone the way, while 取り次ぎ in this sense includes receiving and announcing a visitor before showing them in.

取とり次つぎUsage24%
Standard kanji spelling with okurigana.
取とり次つぎUsage60%
Abbreviated kanji form, mostly seen in compounds or business names.
取とり次つぎUsage14%
Variant without the okurigana り; less common but still used.
とりつぎUsage2%

Noun form of the verb 取り次ぐ (to relay, to act as an intermediary), from 取る (to take) + 次ぐ (to follow, to be next).