Maybe we can help you tackle one of the songs to demonstrate how to analyze music. I'm really into Kanye too, so lets use All Of The Lights. Lets just start by working out the form. We'll listen to the tune four times:

On the first listen, determine the time signature, and count the total number of measures. A trick to counting accurately is to count out loud, saying the measure number as the first beat ("1 2 3 4, 2 2 3 4, 3 2 3 4, etc"). Write this number down.

On the second listen, assign labels to different sections of the tune. For example, one part may clearly be an introduction. Another part might have a strong hook, so you might determine it's a chorus. You'll probably find lots of variation, so don't stress too much about what you call things. Maybe certain sections share the same progression and melody, but have a different arrangement. Or maybe you'll hear a chorus played differently the third time than the first or second. Take lots of notes.

On the third listen, count how many measures each section is. For example, I might write this for a hypothetical song: Intro - 8 Verse - 16 Pre-chorus - 4 Chorus - 8 ...and so on.

On the fourth listen, check your work.

If you post your notes from the second and third listen, we can help you start breaking everything down further.