1987 Ranger 373V 150 Yamaha proV still going strong.
All of the above lifting ideas are fine. However, consider adding a Root Feeder with a hose to the mix. Start the water running. Slip the root feeder tube next to the post. It will drive itself down 20 inches or so. Flood both sides of the post. and you will have Lubed the Hole. (Useful for many purposes).
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It's a pain in the a$$ but we used a engine hoist to take out 15 old posts at my aunts house. Had to chain the back to a truck to keep it from pulling up. We dug down beside the old concrete some and flooded it to soften the ground up.
After watching that wheel trick I'd at least try it first... Doing that could be done faster than getting a high lift etc. Into position if it works.
Most post are set in concrete, all you have to do is simply hit the post 2 or 3 times with a sledgehammer and lift it out of the concrete.
Trust me it works.
Run a soaker hose around the post for several hours/overnight. Come back the next day and they’ll come out a lot easier
Seriously just rent a tractor or skid steer from Home Depot. They’ll be gone in 15 min. And you’ll have an easy way to load them after.
Just hook the bucket into the base, give it a steady push, and knuckle the bucket. They pop right out.
I get on my bobcat and yank em out. Easy peasy
If you have a buddy with a winch have him over with a few beer they'll be out on no time. I did a bunch for an uncle. We wrapped an inner tube around the base for traction then a couple wraps of chain they pulled right up.