Sounds like your covered with the above posts but as always I like to add some.
Check the capacity of the Cig-Lighter and the 12V Power Sockets and setup a relay circuit, fused for the lowest/max amperage of the sockets, (i.e. fuse, wire, relay and sockets all have to be rated for max current).
Run a fused line from the battery to a relay pin 30 and from pin 87 on the relay, run a wire to one of the sockets and daisy chain the other.
Make sure that each of the components you plug in has their own fuse rated for that component.
To active the Relay, use a probe and find a location on the Main Circuit Panel that has power when the ignition is both in the on position or in the Accessory position, run a jumper wire from that location to pin 86 on the relay and ground pin 85.
Double check the grounds for both sockets, making sure they are good solid grounding points.
Thinking out loud here so take it for what it is worth to you.
4x4, 5sp, Std Cab, Stepside, E4 Red
4” Lift - Coil-Overs, 6” SkyJacker Leafs - No Blocks (Mistake)
31 Spline FX4 Rear Axle, 4.56s and OX Locker, Hurst Shifter w/Optional Stick and "Made by Grev" alignment adapter