I've moved interstate many times, sometimes partly with professional movers but I've always had to move a lot myself too. I've used a POD, I've hauled stuff in a trailer, and I've done the Rental box trucks. Each has benefits and drawbacks. I'll try to be succinct. There really aren't too many options.
First dispose of it or move it. Make a list. Then you can figure out how to move the rest.
First, sell or give away anything you don't need or want. Moving companies factor the price about $1 per pound so use that as a reference. If you can sell or get rid of sofa beds, big heavy wood and metal furniture, big box TVs, and junk totaling say 1000 pounds you'll be "saving" about $1000 in effort/time/costs no matter who moves it. When I moved recently, I had garage sales and internet sales and made about $2000 with minimal effort, which also lightened my load.
Catalog and increase insurance on anything particularly valuable. Photos, videos, document anything important in the event of loss in transit, be it theft or accident.
The idea to rent or buy a trailer with the plan of selling it when finished is a solid plan, and you already have a capable truck and the distances are not too far to do in a few trips. The good news is that there's no required overnight stops, which is always a concern for theft. If you buy a trailer and then sell it when finished, you can probably break even. For your distances this is possibly the best plan.
PODs are convenient, but expensive. And they won't allow a long list of contraband. If you use it, have the door pushed right against your garage door for added security loading/unloading and storing.
A box truck is also not a bad play, putting wear on someone else's vehicle. So if your truck is unreliable, this may be the best plan. Rental plans are around $250 per day, depending on the market and other variables.
Hiring a crew might be necessary depending on your furniture and house layout on both ends. If you weigh the options it may be better to just sell or even give away the heavy outdated furniture and electronics if someone comes to claim them and move them out of the house for you. If you list almost ANYTHING for free on Craigslist people will be crawling over your house like ants at a picnic and carry anything away from the top floor of the house. So, rather than pay someone thousands of dollars to move old furniture of little value, just give it all away and plan to save money, and replace it at your destination.
In my case, I gave away or sold several 300 pound Sony tube TVs from the 2nd floor and these folks showed up and hauled them off saving me back breaking work and expenses to move items of very little value. I sold a huge sofa bed that must have weighed 400 pounds, for $100. It took 3 adult men to move it and I was happy to not have to move it across country! Get rid of the piano, the armoirs, the hutches, the boxes of junk, the lawnmower, etc. It costs way more to move it than it's probably worth.
If you can sell or even give away a few thousand pounds of items your back and wallet will thank you!