Transfer bitcoins from one wallet to another
The fee you are referring to is the fee paid to the miners (not to you) for the transaction.  The miner (or mining pool) who is lucky enough to solve the block is going to receive all the fees from all of the transactions on that block.  It will be unknown who will receive the fee it until the block is solved. For more information, see Bitcoin Transaction Fees.  If you want them to pay you a fee, then you have to create a separate transaction for that.