There is a Hadith in Jame’ Tirmidhi:
Translation: It is narrated on the authority of Hadhrat ‘Abdullah bin ‘Abbas (May Allah be well pleased with them) that the Holy Prophet (Sallallahu alaihi wa sallam) said: Love Allah Most High as He grants you bounties. Love me to love Allah and love Family to love me.
(Jame' Tirmidhi, Vol. 2, Pg No. 219; Mishkaat Ul Masabeeh, Vol. 2, Pg No. 573; Zujajatul Masabeeh, Vol. 5, Pg No. 314/315)
The grace and benevolence of Allah Most High demands that we should love Him. To be able to love Allah Most High, we should love the Holy Prophet (Sallallahu alaihi wa sallam) and to be able to love the Holy Prophet (Sallallahu alaihi wa sallam), the Prophet’s Family should be loved.
It is as if the love of the Prophet’s Family is a step towards the love of the Holy Prophet (Sallallahu alaihi wa sallam). If anybody desires proximity and closeness of Allah Most High and wants to be summoned unto His presence, the only way for this is to love the Prophet's Family. This love will grant closeness to the Holy Prophet (Sallallahu alaihi wa sallam) and through the proximity of the Holy Prophet (Sallallahu alaihi wa sallam), one can attain proximity of Allah.
There is a Hadith in Sunan Ibn Majah and Jame’ Tirmidhi.
Translation: The Holy Prophet (Sallallahu alaihi wa sallam) said: By Him who holds my life in His hands, faith cannot even enter the heart of the person, who does not love you (The Prophet’s Family) for the sake of Allah Most High and the Holy Prophet (Sallallahu alaihi wa sallam). (Jame' Tirmidhi, Vol. 2, Pg No. 217, Hadith No: 3691)
In the Hadith of Ibn Majah, the words are:
Translation: Until he loves them for the sake of Allah Most High and because of my relationship with them. (Sunan Ibn Majah, Pg No. 13, Hadith No: 137)
The Holy Prophet (Sallallahu alaihi wa sallam) has not only commanded us to love His Family, but has also given glad tidings of paradise and intercession to those who love His Family.
Translation: My intercession is for those privileged people of the Ummah, who love my Family. (Kanz Ul Ummal, Vol. 13, Pg No. 86)
There is a Hadith:
There are 4 lucky people for whom I will intercede on the Day of Judgment.
1. One who respects my Family.
2. One who offers them what they need.
3. One who manages their affairs when they need it.
4. One who loves them with his tongue and heart. (Kanz Ul Ummal, Vol. 13, Pg No. 86)
There is a Hadith in Zujajatul Masabeeh on the authority of Musnad Ahmed.
Hadhrat Abuzar Ghifari says:
Translation: While I held the door of the Ka’aba, I heard the Holy Prophet (Sallallahu alaihi wa sallam) say: Behold! Verily, the example of my Family among you is like the ark of Prophet Nooh (May peace be upon him). Whoever boards it, is saved and whoever stays back is destroyed. (Mishkaatul Masabeeh, Vol. 2, Pg No. 573; Zujajatul Masabeeh, Vol. 5, Pg No. 315)