The server move is complete! Riot Games have announced on Twitter that the migration has been completed and you should check their live support thread if you run into any issues.
If you live anywhere on the East Coast it’s your lucky day, as you will be seeing a drastic drop in ping. However, if you live on the West Coast, well, your day just got a lot worse, as West Coasters will be receiving a higher ping now that the servers have moved further away.