I have a home pallet type lift with back/sloped sides (to keep stuff on it) that handles about anything I want to carry around. Pick it up with the FEL forks, set it near where I'm working....like at the sawmill...to free up the forks. Have a hunk of 8" PVC pipe strapped vertical in one corner for shovels, pry bar, etc. Put a small roll of heavy black tarp attached to the back top so if it showers, I can roll it down over the contents of the lift to keep it dry. Works perfect for me, has for many years.....dirt cheap.
As for moving all that other stuff, pallet forks and wood pallets are the trick. Cheap and effective. Tear one up, no big deal....get another. That is why pallet forks stay on my FEL 90% of the time. I only quik switch to a bucket for dirt, mulch, that kind of thing. The picture of those bags of mulch....you handled them twice....out of the truck, on to the fancy carrier, then for use.
I get stuff like that loaded in my truck where I buy it....50lb bags of feed comes to mind, or 80lb bags of concrete mix (WHO wants to handle those fool things twice ??) on a wood pallet I take with me, then unload the pallet from the truck with the tractor, and take it where it's going on the place......Zero handling. Cheap, often free, pallet.