I know once you have purchased a home you can leave items in the chests inside for easy storage. My question is regarding the surrounding tables and shelves - if I remember correctly from Oblivion you could leave items on the tables and shelves and they would remain. I'm planning on trying this with a not "super needed" item and seeing if it disappears but I just wanted to ask the community if they have tried this and what the results were.
No, they will not. The in-game help guide even mentions this:
After purchasing a house, you can safely leave your items inside — They will always be there when you return.
I've tried this with a lute and a bee in a jar and so far so good :)
I also dropped some stuff at a shop and it is still there. I also dropped a few books and a dagger on the street and I guess the people of whiterun don't like books and a weapon cause it is still there to this day.
I find that whenever I drop something in a store, it is given to me by the store owner. They say something like "Hey, you dropped this. I figured you wanted it back," and then it says item(s) added and it's in my inventory.
I don't think they will disappear, but when I place my items in my home and return, I find them everywhere but where I put them.