This is a video compilation combining the scenes in which Tywin Lannister speaks to each of his children individually. The conversations are in chronological order.

If you want to skip to a specific person/scene:

Tywin and Jaime{Season 1, Episode 7} = Start of video
Tywin and Tyrion conversation 1{Season 1, Episode 10} = 4:32
Tywin and Tyrion conversation 2{Season 3, Episode 1} = 7:45
Tywin and Cersei{Season 3, Episode 4} = 12:23


Rights belong to HBO and Co.
Also, my apologies for the poor editing job.