The virtues of Mu-aawiyyah Ibn Abee Sufyaan (radiyallaahu-anhumaa)—Shaikh Rabee Bin Haadi
بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ
Indeed the Prophet (sallal-laahu-alayhi-wasallaam) made a great supplication for him; Abdur-Rahmaan Ibn Abee Umayra reported that the Prophet (sallal-laahu-alayhi-wasallaam) said to Mu-aawiyyah: “O Allaah! Make him a guide, one guided to the (straight path) and guide (others) by way of him” 
Irbaad Ibn Saariyah (radiyallaahu-anhu) said: I heard the Messenger (sallal-laahu-alayhi-wasallaam) saying: “O Allaah! Teach Mu-aawiyyah the Book (i.e. the Qur’aan) and Al-Hisaab (i.e. knowledge of math, arithmetic, accounting etc) and protect him from the punishment” 
Umm Haraam (radiyallaahu-anhaa) reported that she heard the Prophet (sallal-laahu-alayhi-wasallaam) saying: “Paradise will be granted to the first batch of my followers who will undertake a naval expedition.” (Umm Haraam added): I said, “O Messenger of Allaah! Will I be amongst them?” He replied: “You are amongst them” The Prophet (sallal-laahu-alayhi-wasallaam) then said, “The first army amongst my followers who will invade Caesar’s city will be forgiven their sins’. I asked, ‘’Will I be one of them, O Messenger of Allaah?” He replied: “No” 
Al-Haafidh Ibn Hajar (rahimahullaah) said: “Al-Muhallab (rahimahullaah) said: This hadeeth contains (an outstanding virtue) of Mu-aawiyyah, because he was the first to undertake a naval expedition. 
Muaawiyah has (virtues with regards to performance of) great Jihaad in making uppermost Allaah’s statement (or command) لا إله إلا الله –None has the right to be worshiped except Allaah); conquests [(of lands)–i.e. in order that mankind may single out Allaah in worship and abandon everything worshiped besides Allaah] and other distinguished virtues. And (from those distinguished virtues of Mu-aawiyyah) are: Mutual tolerance, kindness, forbearance, patience and justice. And if he had nothing else other than the virtue of being a companion of the Messenger, it would have been sufficient for him.
www.nabahani.com [very important and excellent articles about Mu-aawiyah (radiyallaahu-anhuma)]
 Reported by Imaam Ahmad in his Musnad 4/216; Imaam Tirmidhee No: 3842 and others…and declared authentic by Imaam Albaani in Silsilah As-Saheehah No: 1969
 Reported by Imaam Ahmad in his musnad 4/127; Imaam Tabaraani in Mu’jam al-kabeer 18/251…and it is also in silsilah as-saheehah of Imaam Albaani. Number: 3227
 Reported by Imaam Bukhaari in his saheeh no. 2924; Hasan Ibn Sufyaan in his Musnad and reported from him by Abu Nu-aym in al-Hilyah 2/62; and reported by Imaam Tabaraani in Musnad Ash-Shaamiyyeen 444.
 Al-Fath 6/102