If your goal is to power your router with a LPS, then you need to purchase a LPS that delivers 3A of current at 12V DC. The LPS you purchase should come with a DC power cable to connect the LPS device to your router, and it should also come with an AC plug/cord to connect the LPS device to the duplex in your wall. Not sure why you would want to splice in a NEMA plug. Others can address the potential benefits, or not, of using a LPS for this purpose. FWIW, all my network items including modem, router, and peripherals (such as converters and switches) are powered using LPSs.
LPS for Optical Network Terminal (ONT)
We have fiber coming into our home with a Nokia ONT/Router combo and I want to add a LPS for streaming. The ONT presently has a wall wart providing 12V, 3A to power it. Can I just splice in a standard US NEMA plug to the existing wire for connection to a LPS, or, do I need to purchase some specific wire (which already has an ONT connector) to go between a LPS and the ONT ?
I know this sounds extremely simple but I just want to make sure the rewiring doesn't screw things up due to my overlooking something obvious. I can be very good at overlooking the obvious 😥
Thanks for any insight,