I don't think that generation plays as much a role when changing environment as the individual personality of the kitten/cat. Most Savannahs are pretty confident and outgoing, so as long as it has bonded with you and has those familiar toys and bedding, I dont think there should be an issue.
Having said that, I would still treat it the same way as bringing a new kitten into the home, since it is a new home, in that I would limit it so a single room or so (bathroom, bedroom) until it settles in and gets familiar with that area of the house, then gradually introduce it to the rest of the layout, and of course always making sure it knows how to easily get to the litterbox, food, and water.