Large pink wire under dash?
Cut and splice w/ wire nut or quick splice?
How many amps could I potentially suck off of this wire?
The yellow wire is your ignition controlled power anyway not the pink. Pink is your power antenna output which may or may not be used depending on whether or not you have an aftermarket radio that turns the antenna off when not in radio mode which would turn off your amp as well. I am refering to the factory colored wires in the harness.
As already mentioned by Dragonrage, use the fuse box, it is your best option.
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It's NEVER the only option, look at the way GM splices grounds together inside of their harnesses for a good option. Takes a little bit of time with a soldering iron and some careful work with tape and heatshrink...but it's a much better solution to wiring that lasts much more long term.
Scotch locks also are just clunky and messy, they're big things sticking off the wires, that makes it harder to keep the harnesses organized and protected out of the way in the car...soldering heat shrinking and taping is much cleaner and easier to route/protect.
I've wired cars from scratch, and NEVER had to use a scotch lock, anyone who says they're sometimes the only option, is looking for a shortcut and probably doesn't care about quality work.
To answer your original question, I just splice back the insulation a little bit. DO NOT CUT THE WIRE. Stick a pointed pick tool through the wire to spilt it apart and make an "eye". Thread whatever wire your tapping in through the eye and wrap it around a few times. Squeeze the connection tight to close up the eye if need be. Use a solder gun to solder the connection. Cover with quality electrical tape. (3M is preferred. Junk from WalMart is not) I have done this no less than 200 times. I have seen my connections years later and they still look and work fine. Don't know about you, but I don't keep ANY car for more than maybe 10 years TOPS.
Another option is using Posi-Lock connectors. They are as easy to use as ScotchLocks but they do less damage to the wire. The Posi-Tap connector slides over the wire to be tapped and the tap is screwed onto it. The tap part pierces the wire insulation with a sharp pin that makes only a small hole in the insulation instead of cutting it like a ScotchLock.
I still believe that it is better not to use these things to tap into existing circuits but occasionally it's necessary because of the locations of the wires.






