My rabbits did get moved between two home for a while, and they knew both of their rooms very well- the thing is to let them establish a territory, which might mean leaving them in one place for a month, and the other place for the next month. I would certainly run it by your parents to see which of them would be willing to look after the rabbit if you are sick or away, or just incase it doesnt like being moved about
Mine move inside and outside every few days-these are hugely different environments but they get used to it. ( it doesnt require a carrier but more just to highlight that rabbits can be okay in multiple territories)
As long as the litter is consistent habits shouldn’t be too big of a problem (same tray type, same substrate similar location)
As a side note my rabbits used to display dominance flips between the houses, and new territories can effect a bonded pair if you were planning on getting two.