Hair color and chlorine pool concerns?

I have dark greenish teal/turquoise-ish colored hair (not completely, around 80% colored). I love to swim and when it gets hot here, Im wondering what will a chlorine pool do to it? Will it make the color fade to green or a yellowish green since the hair was bleached before the color was put in? (plus, I'm a bit concerned about going in the water and having the blue dye go everywhere.. that would be embarassing!). If I have to end up wearing a swim cap, I will, but would I get weird tan lines around my head? And I heard that they don't keep your hair completely dry. Is there a way I can maximize the protection of my hair as much as I can?

My hair (its a bit lighter in person):

https://scontent-a-dfw.xx.fbcdn.net/hphotos-xpf1/v/t1.0-9/10942614_909162762438119_4364109476595097462_n.jpg?oh=8ebf3dbacd7bd9dc1625d73bfc886da6&oe=5560AC91