You may be interested in this: Byteball: Blackbytes FAQ.
Think of Blackbytes as a post-it handed to you by the previous owner. The post-it says: "ChainSmoker is now the new owner". Together with handing you the post-it, the DAG registers that the previous owner is no longer the owner of these Blackbytes. The DAG does not register that you received the post-it.
Now, if you lose this post-it, the previous owner can simply give you another post-it that says: "ChainSmoker is now the new owner". *
If you want to give your Blackbytes to someone else, your post-it contains all the information you need to create a new valid post-it for the receiving user, and to register the change of ownership in the DAG.
I think giving Tonych your address (and asking politely) is enough. Resending means sending the same transaction again, you'll receive the exact same Blackbytes again.
The sending wallet can click "re-send private payloads" from the transaction history:
I really recommend to try the features Byteball has, create another wallet and send some money around.
* Comment needed on this analogy: does it help explain how Blackbytes work?
Very good analogy!