OK I'm sure we are all sick of these Noob questions, about moving premined. It's not moving its coming back as change. When you receive/premined an input and then later spend from that input you must use all that input. The left over is sent back to you as change.

You own that new wallet address already, you just didn't use it until that moment you got the change back. Ok what I mean is your wallet has a "keypool" inside it and it holds 100 public and private key pairs pre-generated and stored in a queue.

public and private key pairs- meaning you own the private key hidden and only used when you need to send BOOM from that public key (wallet). So you keep that private hidden in your wallet and have the change sent to its public pair.

Ok a very over simple explanation,
You: Hey wallet send out 10 BOOM
Wallet: I will use this 12 BOOM input bc it just minted, we will need a "public and private key pair" from the keypool, to receive the 2 BOOM back.

Here this should start this video at 3:30, you more then welcome to watch the whole 22 mins
 
http://www.youtube.com/watch?v=Lx9zgZCMqXE?t=3m30s