Presented is a map with all item locations on it. Note that aside from the Life Belt, each item category is progressive, and as such locations will give you the lowest-leveled version in that group in the order that you get them.

The Umbrella goes from Rainbow > Plastic > Plastic Rainbow

The Rod goes from Power > Metal > Metal Power

The Diving Equipment becomes the Air Necklace

There are no unique names for Lures however.