Traditional eyed hooks have always been associated with big-fish anglers such as carpers due to their strength, though these days the rules are less clear cut. Hooks with out-turned eyes are designed for mono and stiff materials, while those with in-turned eyes are traditionally best when using braided hair rigs.
The type of hookpoint you choose depends mainly on the bottom your are fishing over. Straight points are best for weedy swims as they snag on debris less easily; beaked points for gravelly bottoms as they are harder to blunt; and long points for carp with firmer mouths.
Wide-gape hooks lend themselves to large baits such as big pellets and boilies, while those with a narrower gape were traditionally suited to side hooking small baits like maggots and casters.
Short-shanked hooks are a better choice for baits that are hair rigged tight to the back of hooks, while long shanks are preferred by carpers looking to increase the hooking angle.
Most hooks used to have a silver finish, but nowadays many anglers are obsessed with making their hooks blend in with the lakebed - hence the emergence of low-glare options with Teflon or coloured coatings.