Where to run power cable for hidden amp

I am wanting to run an amp under the seat of my Swinger to power a pair of 6x9 in the back ( I recently purchased a new package tray with slits for sound). I don't want to interfere with my stock radio in any way.
To power it I know I need to run it up to my battery with a fuseable link. My question is will the amp be off when I don't have a key in the ignition or do I need to interface an on/off switch in the power line? I saw a video on YouTube where a guy ran his power cable to the battery but his amp shut off when he took the key out. Any help is appreciated.

After re reading your original post. If your radio is the original from the factory, remember that you will need to intercept the signal wires originally heading to the speakers themselves, and splice in an adapter so you can run RCA cables from your deck to your amp.