Half-storage unit of personal items (see pic)

Can travel as is (packed as much as I could; should be easy to transfer from drive-up storage unit to truck and being delivered to drive-up unit. Would like it to be ensured but just in terms of the general shipment making it in good condition (ie. on time, not wet, etc.) Most of this is bins of random items, non-breakable kitchen items, pillows, etc. Large items not wrapped can stay loose - can all just go as is!