Thanks hilariousandco! Now the final piece of the puzzle, the last question unanswered:
I am left with 0.6 mBTC (in my Blockchain.info wallet) + 0.4 mBTC (in my online wallet) = 1.0 mBTC out of a initial sum of 2.0 mBTC, so half my money was taken by the miners in just one micro transaction?"
If it's because of Blockchain.info's fees, I understand, though I thought the only fees when transmitting bitcoins were the 0.0001 BTC minimum recommended transaction fees (or sometimes 0.0002 if use an online wallet like Multibit). Is it possible Blockchain.info is adding something on top of these fees? (if so, they sure don't advertise it much to new customers like me).
TonyT
You can choose to set the fee yourself in the options or let blockchain.info suggest and automatically apply the fee for you. You can even send some transactions for free though they will take a while longer to confirm, though it won't be possible to do this with tiny dust transactions. Also, please note that blockchain.info and the Blockchain are two different things. Blockchain.info doesn't recieve any fees for their service but the fees you pay go to the miners.