Save everything in a couple of versions and test it out to be sure.
I would save them separately, sims and house. The house keeps the upgrades. Apparently painted pictures and photography are a gamble if left on the walls and are better to be in the sims' inventories. Furniture is alright. Bookcases always empty themselves into the sims' inventories. Treasure chests remain. The terrain is the bother, although if it goes on a larger block you can set it back from the street and blend it.
I gave this advice in another thread: they won't take their family tree with them if you don't take the relatives of it with you, and any links of it. So the gravestone or urn of dead relatives, in your sims' inventory. Source the distant and in between one's from the cemetery or legacy house, and if there's any living one's from in between, move them in or make them pass on and get their urn.
Food doesn't stay in the fridge. Put that in the sims' inventories separate to the fridge. Open, take all. Don't forget to put it back on arrival or it will go off and stink your sims' face off.