If you have a trailer have local moving company at each end do the load and unload. I looked at this method when we moved and while it would run about $500 I think worth it. This, based on my experience allowing a friends brother convince us to save our money as he had everything to do it properly. We ended up with grooves in hardwood floors because of his (harbor freight) quality dollies did not swivel when making corners. The "heck I've done it before without masonite to protect floor" claim did nothing.
To have it done right let the pros handle it.
If you use the trailer method: Do not strap to outside walls. Rather run a stout chain through d rings bolted through floor and frame of trailer then bind with 3" straps over top to the chain using furniture corner protectors over safe and a upside down plywood box (size of top of tool box and 4" down side of box) over the top of tool box. DO empty safe and tool box.