Camera bodies and lenses are exactly the kind of thing you carry yourself, not something to check into a moving truck unsupervised. A padded bag, capped glass, and your own two hands are the whole plan.
Pro tip: Photograph your gear laid out before packing, both for insurance documentation and so you notice immediately if anything is missing when you unpack.
Watch out: Never put camera equipment in the moving truck unsupervised; extreme heat, cold, and vibration over hours can damage sensors, electronics, and lens elements.