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.