And etherscan.io ? What is then this if original wallet is at myetherwallet.com
I'm not sure, where are you from? You could maybe use something like Bitstamp.net, but i'm not sure if they're cheaper then you, https://www.bitstamp.net/fee_schedule/
I've personally used it myself because they accept Bancontact (direct payment using a debit card), so whenever I wanted to buy something quickly i'd use litebit to buy ETH/or LTC and let it deposit on the exchange I want to trade it for my altcoin.
But like i said, even tho it is easy to use you should defenitly check the current price on Litebit and compare it with any other exchange (like gdax) and see if it's worth it to you.
As for wallets, MEW is indeed a good wallet (been using it myself for some time now).
I use it in combination with MetaMask (chrome extension).
This link shows how to link your MEW to your MetaMask: https://blog.bancor.network/connecting-myetherwallet-to-metamask-e7f3f28fddc8
You can also just go on the MEW website and go to the Send Ether & Tokens tab (https://www.myetherwallet.com/#send-transaction).
Once you clicked on that link, you'll need to login into your account. You have several options, choose the one that fits you and login. Then you'll have the ability to send your tokens.
(in the worst case when you have no other option, chose the private key option and paste your private key in the box and click on unlock)