Will the miners mine my new currency by using the same miner as Ethereum? And will they need to configure their miner to specially mine my currency? I would be grateful if someone can explain me how this works for me, now I have created my new currency under the Ethereum technology.
Your token is riding "for free" with the rest of the tokens out there. (Not really for free, because you'll still be paying out transaction fees to miners for executing your token smart contract.)
If you'd like to give miners an extra reward, it's not outside the realm of possibility. You could always include transferring some of your token to
block.coinbase. (Found on: http://solidity.readthedocs.io/en/latest/units-and-global-variables.html#block-and-transaction-properties) I've never seen this done yet, just an interesting thought experiment. You could only transfer when your contract is executed. Miners wouldn't know they have your token unless its popular or you tell them about it.
To answer your question directly, your token is secured as much as the rest of the Ethereum Blockchain.