I think this could work well in Skyrim.
It has already been mentioned that you will be able to cook (possibly to increase the potency of the food); so I presume you will have some sort of oven (or maybe a food equivalent of the mortal & pestle).
I was thinking that perhaps you could purchase a work bench for alchemy; this would be a place where you could store all of your ingredients etc. and could be shown on top of the bench; or an oven if cooking is your thing. I’m sure there’s plenty of other things like this that may be worth the investment that could suit the particular playing style of the user.
It would also be good to be able to purchase extra chests for general storage and manikins/weapon racks to show off your equipment.
Now I wouldn’t want it to become like the Sims where you could completely redesign the house (although I’m sure some people would like that); but I think a bit of customisation would give you a unique house.