Do chords change with modes?
The chords available to you in a given key are the same no matter what mode you choose. This is because you're still constructing the chords from the same set of 7 notes.
What modes over what chords?
Modes are made for soloing over chords. Each mode is able to play over a specific set of chords. If the chord is dominant, like a G7 or G9, you'd want to play the Mixolydian mode. If it is a minor chord, you can play the dorian, phrygian, or aeolian mode.
How do you understand modes?
The best way to understand modes.
DEFGABCD = 2nd mode: Dorian (start from 2nd note) EFGABCDE = 3rd mode: Phrygian (start from 3rd note) FGABCDEF = 4th mode: Lydian (start from 4th note) GABCDEFG = 5th mode: Mixolydian (start from 5th note)