Some words of wisdom from someone who has both a 10,000# fork lift and a small CS2220 with pallet forks and a max lift capacity of around 600lbs.
On solid ground the fork lift is more forgiving, but the 4WD CS can get into places the fork lift will just get stuck/bogged.
We lift lots of odd sized/weighted objects and each one is always different.
Don't be in a hurry! Think things thru.
1) If your lifting an odd size/weighted object off a trailer - find/figure out the center pivot point. If you are using a sling over a bucket make sure it is secure and won't slip. Pallet forks are always better than a bucket. Tie a long rope on one end of the object to be lifted and have a spotter hold the rope to stop sway and/or rotation.
2) When you think you have the sling correct to balance the odd load, test by lifting 1inch. Keep the engine rpm at ~2000. If it is not balanced, lower and adjust the sling points. Use welding clamps to ensure the sling points (and on the bucket) won't shift/slip. Once you have it balanced and 1 inch off the trailer, set the parking brake and gear to neutral...........and GENTLY move to get off the tractor seat and off the tractor. If your weight on the tractor seat is the only thing that keeps the load stable, rethink your tractor rear ballast. It needs to be stable without you in the seat.
3) Before you attempt to remove the load from the trailer. Have mental plan for your tractors movements to get the load to its destination. Make sure all obstacles have been cleared and resting blocks are pre-placed at the destination to set the load down on.
4) Move very slowly with front wheels straight to get the load off the trailer. As soon as it is safe gently lower the load closer to the ground. Keep it just high enough to not hit anything.
5) Move slowly and minimize turning. Moving slowly back and forward to turn slowly is better than cranking the steering wheel.
6) Arrange the unloading zone to be on level, even and firm ground. Putting a front wheel in a small pot hole when near the load limit can tip you and the load.
Think it thru, make sure it feels stable, move slowly with no sharp turns/movements.
Check air pressure in the tires (before is better ;-) ).