just to get it right, you would recommend me not to use the
https://www.ethereum.org/ wallet but the myetherwallet.com wallet?
The wallets in ethereum.org are downloadable wallets. On the other hand, myetherwallet is an online wallet you can use to receive and send ethereum. The nice thing is that you can even use it to transfer your wallet's "private keys" (your wallet password) into other wallets in the future.
Good job getting into Ethereum. You will surely earn a lot when its value rises.