A problem I have found with online sources of hadith is that many of the sites do post non-authentic ones and present them as being authentic. Because there are so many hadith it is difficult for a non scholar to seperate the truth from the fraudulent.
I find it is far better to trust any books recommended by your local Imam as the initial readings. Although we can all gain from reading authentic hadith, it is much better to do so under the guidance of a scholar.
For self exploration I would only recommend the four books narrated by:
Sahih Bukhari
Sahih Muslim
Malik's Muwatta
Abu Dawud
The Best of the Best - Abu Eesa Niamatullah - islamicawakening.com
From a choice of hundreds of narrations from our beloved Prophet Muhammad (sallallahu ‘alayhi wa sallam) you can find 100 hadith, detailing ways on exactly how to become the best, how to have the most excellent characteristics, what really will prove most beneficial for us to know, what really are the greatest things to think about and hope for and indeed, how to become the most beloved of people to our Magnificent Creator, Allah jalla wa ‘ala.
Buloogh Al Maaram - Al-Haafidh Ibn Hajar al-‘Asqalaanee
Buloogh al-Maram Class Notes - from salafitalk.net [PDF]
by Umm Abdillah al-Waadi’iyyah (daughter of Shaykh Muqbil bin Haadee - [d. 1422] Rahimahullaah)
Personally I will not trust online hadiths, they can easily be fabricated, unless they are published by reputable publishers. To be on the safe side just buy the hadith collection on book from publishers like darussalam.