I have a hook remover like you show there. I use it for catfish more than anything else, something about their flesh tends to hold hooks. Its good for bream too, the only problem I have is that often their mouths are so small I can't see where I'm working once i put the hook remover in. My tip for not gut hooking bream is that anytime you see your bobber twitch, snap your wrist to set the hook. I don't jerk it like i'm setting the hook on a bass, but pop it quickly with the flick of my wrist. you miss some fish, but I gut hook a lot less and you can catch fish that won't take your bait and run like that.