Resources for Learning Chains of Narrations

Firstly: 

There are many books which may be used to help find out about
the soundness of hadeeth, some of which are organized by topic and others
are organized by first words, and some by the names of narrators. 

These books include Saheeh al-Jami’ al-Sagheer and Da’eef
al-Jami’ al-Sagheer, both by al-Shaykh al-Albani (may Allah have mercy on
him). These are organized by the first words of hadeeth, and in alphabetical
order. 

Another book is Irwa’ al-Ghaleel fi Takhreej Ahadeeth Manar
al-Sabeel, also by Sh. al-Albani. This is organized by fiqhi
(jurisprudential) subjects. 

Another book is al-Talkhees al-Habeer  fi Takhreej Ahadeeth
al-Rafa’i al-Kabeer, by al-Hafiz Ibn Hajar al-‘Aqsalani, and Nasb al-Rayah
fi Takhreej Ahadeeth al-Hidayah by al-Hafiz al-Zayla’i, both of which are
organized by fiqhi subjects. 

Another book is Tuhfat al-Ashraf bi Ma’rifat al-Atraf by
al-Hafiz al-Mazzi, which is organized by the names of narrators, in
alphabetical order. When he quotes a hadeeth he mentions the imams who
narrated it, and he puts in front of the hadeeth, for example (kha’ meem
ta’) i.e., it was narrated by al-Bukhari, Muslim and al-Tirmidhi. 

Secondly: 

As for computer programs, there are many, the most useful of
which is Burnamaj al-hadeeth al-Shareef, by the Harf company, and Burnamaj
al-Mawsoo’ah al-Dhahabiyyah li’l-Turath, and Burnamaj al-Mawsoo’ah
al-Shamilah. 

And Allah knows best.