This is what I got from the menu pictures.
Tool items: Items that are used to tasks, like net, shovel, fishing rod, axe, etc.
Furniture Items: Items like tables, beds, chairs, couches, TV, etc.
Miscellaneous items: Items like kitchenware, and food items like fruit basket, turkey, cup of coffee, plated meals, etc.
Wall Items: Items like portraits, paintings, taxidermy, etc.
Wallpaper/Flooring: Items like Patterns or solid colour wall skins, or different material flooring.
Garden Items: Items involving plants like vase of flowers, potted plants, leaf umbrella.
Storage Items: Items that can store things, like chests, bags, etc.
Craftable items: In the trailers it looks like any item that has a hammer means that all resources needed to make the item have been collected and the item is ready to be crafted. I believe going to this menu filter out the items that you still don't have all the resources to create.
Favourite/Wishlist Items: These are the item you mark as favourites or wanted.
I do not believe this menu would have clothing items as this is the work bench. Clothing items I believe will be found somewhere else, at a sewing machine or something where clothing can also be purchased IMO.
I do not think the food items will be cookable. They will be crafted like all other items IMO.