A couple of thoughts - - I've been winching vehicles for over 50 years. Seen/used electric, PTO & hydraulic versions. PTO & hydraulic versions can be somewhat complicated, requires a dedicated position, shafts, levers etc. Great for a vehicle where a permanent mount will not impede the primary use of the vehicle. Also great where EXTREME pulling power is required. With the advent of modern electric winches - this is generally speaking the choice for the homeowner/adventurer.
Your tractor - my tractor is stuck. Do we want to go back home, where our winch waits and bring it back to our stuck tractor. Will we have access to the attachment point on our stuck tractor. I've dove down into four feet of glacial river water to reach the hook on an electric winch. Release the brake - grab the hook - surface and not drown. Its a VERY awakening experience. Then casually stroll across the 75 feet of glacial stream and attach to an anchor point on the far bank. All is part of adventuring in the last frontier.
If you will be using a winch to pull your tractor "out" - I would recommend a trailer hitch mount electric winch for your pickup. Maybe even a permanent mount on the front of the pickup.
FYI - Average use of an electric winch can eat a battery like a kid eats a candy cane. There is no alternator on the face of this earth that will mount in a vehicle and keep up with the electric demands when this winch is under full pull. An 8000 pound electric winch can/will demand 750 amps under full pull. Unless you have installed special wires on the battery/alternator - the sheathing on your OEM wiring will liquify under heavy load.
Any reputable winch manufacturer - such as Warn - will specify their use. Time of power on - required amps based upon load - wire gage sizes - alternator capacities - etc.
Then to top it all off - a winch is only as good as its anchor point. If my tractor were in mud up to its axles - there is no way my pickup would pull it out. I would end up - slowly - pulling the pickup toward the stuck tractor. So I chain my pickup to a nearby pine tree. If I'm lucky - this will work and the tractor will come out of the mud. If I'm unlucky - the tractor will not budge - the winch stalls out - the wiring in my pickup incinerates - my alternator fries - the winch line breaks - the pine tree is pull over and crashes into my pickup OR either the rear attachment point on the pickup is pulled off OR the front winch and mount are pulled off the pickup.
Get a trailer hitch mount electric winch for use on your pickup. BUT - the go out on you property, identify those areas where you might get stuck, identify suitable anchor points - try to stay out of identified areas when muddy. Avoidance if far better than recovery.
Electric is superior to all other types in one way. It will still function even if the engine on the recovery vehicle can not run. It will run off the battery for a short while - that could be just what is needed to recover the vehicle.