According to Hanafi sect, every person having the means to sacrifice should offer a sacrifice. On the other hand, majority of scholars consider the task of sacrifice being accomplished by one person from the household, living under the same roof and sharing the same budget, is sufficient.
The second judgement shared by most of the scholars bases on the verbal announcements and actions of the Messenger of Allah (p.b.u.h.).
He decreed: “O you who believe, every household should sacrifice every year!”, proving that qurban is slaughtered in the name of family.
Our Prophet (p.b.u.h.) sacrificed a ram at Qurban Eid and called for God: “Bismillah! O my Master! Accept it from Muhammad, his household and his ummah!”
The same way, it is recorded in reliable sources of information that the Messenger of Allah (p.b.u.h.) slaughtered two purely white, fleshy rams with horns as sacrifice. One for the people from his ummah who did not sacrifice, and one for himself and the household.
Here is a narration about the worship of sacrifice from ‘Ata bin Yasar:
“I asked Abu Ayyub [Al-Ansari] how the slaughtering was done during the time of the Messenger of Allah (ﷺ). He said: ‘A man would sacrifice a sheep for himself and the people in his household. They would eat from it and feed others, until the people (later) would boast about it and it became as you see now.”(Reference: Jami` at-Tirmidhi 1505; In-book reference: Book 19, Hadith 16)
You can behave similarly and sacrifice one animal as a sacrificial from your family.