I am in this exact situation, replacing because I have "banding" - not the normal grey visible when dim banding, but horizontal lines whenever the screen displays red. I was messing around with SketchBook app and found a shade of red that causes the screen to display solid black lines through it. Other shades of red show "light red" lines through them.
I selected Backup in CWM Recovery. How would I move this over to the new phone? I know I'll have to root the phone first and get CWM on it before I restore the backup, but the transfer of the backup has me stumped.
I know I can use AirDroid to try and transfer the whole blob/backup folder to my computer, but it would be over WiFi and I'm not sure how stable it would be with that big of a transfer.