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No problem hawling. the bigger the tarp, easier the clean-up. Try to use a tarp without any metal grommets or rivets, depending on water content you may be able to pull out the tarp with most of the mulch on it.
1 yard of dry mulch = 600 lbs, 1 yard of wet mulch = 1,200 lbs. 1 bag (2 cubic ft) of dry mulch = 20lbs. 1 bag (2 cubic fr) of wet mulch = 40lbs.
My previous house I would get 50 bags at Home Depot/Lowe's each year. With a HDDP it would sag a bit but was fine. Bags are so much easier throwing it on your shoulder and carrying it up a hill or across spring time muddy grass.
This is ~ 1.36 cubic yards of mulch and top soil. Total weight was ~ 1,436 lbs. (I weighed a couple of bags at home to find out -- they were damp but not real wet.) The mulch alone would have been ~ 1.11 yds @ 1,200 lbs. I was probably carrying ~ 300 - 350 lbs. over capacity with a passenger and some tools in the cab, but it was no problem at all. Your main issue will be keeping it in the truck, so a tarp will be useful.