How do I transfer between servers without logging onto the ingame client?

I will be moving to The Philippines in a few months and I want to transfer my account. However, my computer is broken so I can't access the LoL client. I will not be able to buy a new computer until around April, and I will be leaving NA before this. Is there a way to change servers on the League of Legends website? Also, how much RP is it going to cost me to transfer from NA to The Philippines server?
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