I understand your concerns, but I don't think I'm going to burn any carpet. I was going to run it directly to the battery which is what I need help with and I have a rocker switch. I think I'll be able to do everything safely, my only problem is don't know how to attach it to the battery. So any advice on how to connect it to the battery?
Oh man......... I fully encourage you to do this project, and sometimes the best way to learn is the hard way. HOWEVER, your proposed plan is incredibly dangerous. DO NOT attach anything like this directly to the battery. There is no need, and it is extremely dangerous. You could come back to find your car a smoldering mess in a parking lot! I dont mean to scare you, but if you dont know what youre doing, connecting stuff to the battery is a TERRIBLE idea. Not only that, but its making your project WAY more expensive, complicated, and time consuming.
Your LED strips use hardly any current. Therefore, you could easily tap in to an existing FUSED circuit and be fine. This will save you a massive amount of wiring and you will be able to work with smaller (cheaper) wire, which is easier to work with. Heres my proposed plan;
1) the negative (-) wire from your LEDs goes to ground. This means you can attach it to any exposed metal that is touching the frame/body. I recommend finding a nearby screw in a metal piece, sand any paint off the metal, wrap the (-) wire around it, and screw it back in.
2) wire the (+) LED wire to your rocker switch.
3) run a wire from the other terminal of the rocker switch to the circuit we will be tappping into. As recommended above, you should use a SWITCHED circuit, which means the circuit will turn off when the car is off. An easy one is the cigarette lighter circuit. Locate which fuse is for the cig lighter. Remove the fuse. Take the other end of the wire that goes to your rocker switch and wrap it around one leg of the fuse. Reinsert the fuse. Your LEDs are now powered by the cig lighter circuit. DONE.
Im sure theres flaws in this method as well, but Im offering it as a simpler, safer, cheaper, and more practical method than what you are trying to do. Emphasis is on safer.