I'm not so sure you're correct on the DITY move stuff. You do realize you have to submit receipts for all of that stuff (truck, gas, oil) and are subsequently reimbursed. Hence, you're getting paid for that equipment that is part of your move.
While working stash at personal property (according to the women who work there), you do not get reimbursed for truck, gas, oil, etc. When you turn in the DD 2278 and use the "dity checklist and certification of expenses" form, the only thing they look at is your weight tickets (unloaded and loaded).
If you go to http://pptas.ahf.nmci.navy.mil/, you can put in your locations and weights and it will give you a claim estimate. Providing other receipts are for tax deductions.