So here's what you can look for. I haven't done one but the theory should be the same. Find where your wireless remote hooks up to your winch control box. It's going to be a switch, most likely a solenoid. You are looking for 3 wires to use. Power, Forward, & Reverse. A continuity and/or voltage meter will help out a lot here. First find power. Take your voltage meter and connect one end to a good ground. The other end touch to each connection until you read 12v. Often the hot power wire is red. Check all the connections as only one should be hot or have constant power.
After you have found power take necessary precautions to run your winch, I.E. run the cable out enough and in a manner you don't have to watch it while doing the next steps, run your winch in forward or reverse and check power to the connections, other than the one you have identified as power, and find which one is hot. There should only be one but be sure to check them all. Make a note of the wire and which direction the winch is running. Now run your winch in the opposite direction and find your third wire.
The next step is to disconnect the battery to complete your wiring. Use wires the same gauge, or one size larger. If you can use the same 3 colors it's a good idea. Route the 3 wires to the back of your switch panel. Consider using an inline fuse on your power wire here. If you are using a 3 position switch you'll only use the 3 wires. If you have 2 switches you can just split or "Y" the power. Hook up your switch(s) reconnect the battery and test.
Install instructions will probably help out a lot, I'm sure you can download them from Ramsey's site.
That's basically it. It might help to think of electricity like water in a pipe. It has to travel from the battery to a switch (valve) which directs it to where you need it and the excess needs to go back into the battery.
