P.S. When we moved from Tucson, to San Diego last year, we rented our own vans and did the move ourselves. It was very inexpensive, under $2,000, and we timed the move much better. Best of all we enjoyed PEACE OF MIND all the way, and that as they say, is priceless.
Hakim is absolutely right.
I have moved both ways and the DIY method is much easier and less expensive.
To me, the trick is finding "helper labor".
Pack into boxes, properly labeled, before actual moving day comes. Rent the truck, then go down to the local Home Depot, or day labor center, and hire two or three day laborers to pack the truck. These guys are strong and used to hard work. For about $10-12/hour they will load your stuff on the truck and pack it in the way you want. Use your head in how you get it packed. Heavy stuff on bottom light stuff on top, etc. Get it in so the load won't shift.
At the other end, get more day labor to unload. Get your furniture spotted and then put stuff in the right rooms.
Sell or donate everything you can. All of you furniture is used right now. Look into buying more at thrift shops at the new house. You can upgrade over time. I just won't pay to move a dresser that I can replace for $50 at Goodwill.