Issues like this are why I used PODS for my last move. Hire a local packing and unpacking crew at each end yourself, it's a lot less expensive and you get more control but assume more responsibility. Alternatively a rental truck, but you can still hire local crews for the labor.
Another good option is U-Pack if you have more things that can fit in PODS. ABF Freight drops a container off on your street and you have a couple days to fill it. Then they pick it up and drive it to your destination. You only pay per linear foot you use in the container.
The downside is that it’s a little slower than PODS or traditional moving because the unused space is separated and then resold to a local freight partner going to the same destination area. If you can live with that constraint, the process was very smooth and the U-Pack customer service was extremely good and responsive.
We hired local movers on both ends to just load and unload the container (did the packing of boxes ourselves, left furniture to the loaders) and paid a little under $6K to move a small 3BR house from the midwest to the east coast a couple years ago.
Just still be cautious and carry some insurance on your stuff. My brother broke up with his girlfriend, she moved back east. She packed all her stuff up in a PODS and shipped it home, and the pod dissappeared. PODS completely lost it.
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I moved a lot.
* If there is something of high value, either handle it yourself separate of the movers, or package it yourself if it's too large. Make sure it's adequately insured and take photos.
* If it's a one day job, hiring a crew with a truck is fine. Keep an eye on the crew and the truck throughout the process.
* If it's a longer job, you can rent one or two trucks and hire a crew to load and another to unload at the destination. If everything is boxed, and you have good access to the front door, then a crew of 3 or 4 should be able to fill a large truck in 2 or 3 hours. Unloading goes quicker.
* I've always regretted using PODS. They are small, and I tend to keep them in the driveway way longer than you should. With a truck rental the time urgency helps me complete the project faster.