You shouldn’t need to do anything at all to continue playing on your world. If your game client was running when the worlds were moved, you may just need to restart your game.
So I tried to access my sovereign planet Vanaheimr this morning and it won’t let me connect. I tried my portal, the Sanctum, and a new warp destination with a new augment, and all of them said connection to server timed out. I’m on PS4 by the way