ꜤAllāmah Ibn ꜤĀbidīn al-Shāmī رَحْمَةُ الـلّٰـهِ عَـلَيْه said:

There are many chains for hadith with similar wording. Additionally, many other hadith prove that the Prophet’s lineage will certainly benefit his descendants. They will leave this world in a good state and acquire salvation in the hereafter. Without doubt, his pure family are fortunate in both worlds.^[1]

Where will the family of the Prophet صَلَّى اللهُ عَلَيْهِ وَاٰلِهٖ وَسَلَّم be on the Day of Judgement?

اَلْـحَمْـدُ لـِلّٰـه The blessed family of the Greatest Prophet صَلَّى اللهُ عَلَيْهِ وَاٰلِهٖ وَسَلَّم are virtuous in this world; and in the Hereafter, they will be at ease, safe from Hell, and deserving of Paradise اِنْ شَــآءَالـلّٰـه. The noble Quran states:

وَ الَّذِیْنَ اٰمَنُوْا وَ اتَّبَعَتْہُمْ  ذُرِّیَّتُہُمْ بِاِیْمَانٍ  اَلْحَقْنَا بِہِمْ  ذُرِّیَّتَہُمْ  وَ مَاۤ  اَلَتْنٰہُمْ  مِّنْ عَمَلِہِمْ  مِّنْ شَیْءٍ ؕ

As for those who believed and their progeny followed them in faith, We have caused their progeny to join them; and We did not decrease anything from their deeds.^[2]

It is stated in Tafsīr Nūr al-ꜤIrfān:

If the offspring of believers are believers, Allah Almighty will unite them with their parents in Paradise and not separate them. We learn from this that the rank of the family is raised because of the parents. The blessed family of the Prophet صَلَّى اللهُ عَلَيْهِ وَاٰلِهٖ وَسَلَّم are not prophets, but they will be with him in Paradise, which proves the concept of intermediary (wasīlah). We also discover that a person of Paradise will be with his family in Heaven, such that if the rank of the father is low and the rank of his children is higher,