Can you provide me with the long Prophetic Hadith in which the Messenger of Allah (peace be upon him) gives advice to Abu Hurairah (may Allah be pleased with him) concerning this world and the Hereafter?

Abo Hurairah was one of the Companions who narrated many hadiths from the Messenger of Allah, peace and blessings be upon him. Several scattered hadiths containing his وصايا (counsels/admonitions) have been reported from him, including:

Fasting three days of every month, two rak'ahs of Duha prayer, and Witr prayer before sleep. Saying "Subhan Allah, wal-hamdu Lillah, wa la ilaha illa Allah, wa Allahu Akbar" (Glory be to Allah, and praise be to Allah, and there is no god but Allah, and Allah is the Greatest) plants trees for one in Paradise. "Be devout, and you will be the most worshipping of people; be content, and you will be the most grateful of people; love for people what you love for yourself, and you will be a believer; be a good neighbor to your neighbor, and you will be a Muslim; and laugh little, for excessive laughter deadens the heart." Saying "La hawla wa la quwwata illa billah al-Ali al-Azim, wa la malja'a min Allahi illa ilayh" (There is no might or power except with Allah, the Most High, the Most Great, and there is no refuge from Allah except in Him) is a treasure from the treasures of Paradise. Allah's right upon people is that they worship Him and associate nothing with Him, and it is Allah's right upon Himself not to punish them if they do that. Saying "Bismillah wal-hamdu Lillah" (In the name of Allah, and praise be to Allah) when performing ablution earns you good deeds until you invalidate that ablution.