We just moved from a Chicago suburb to Orange County, CA, using Allied Van Lines pro movers. We chose them over United Van Lines only for their $1K lower bid, having learned in a previous move that no matter what we did to cut costs later, the estimate is what we'd have to pay.
Better Business Bureau rates movers, so don't bother with anyone not top-rated on their site. Also, June is prime moving season, so get your request in early.
Before you get your estimate, get rid of absolutely everything that isn't worth $2 a pound to have with you at the other end, and physically separate that which will be moved from that which won't to help the estimator get it right.
We sold lots of furniture to the buyers of our home, and gave away tons of other stuff to friends, Goodwill, Salvation Army, and the "trash fairy" (guy who cruised the neighborhood weekly just before the weekly trash pickup.) That saved us thousands of dollars, and allowed us to comfortably fit into a home here that is 1/3rd smaller than our former home. That in turn pays because now we can clean it ourselves easily with the help of a Braava 380T mopping robot rather than needing a house cleaner, all of whom here appear to work only under the table - a way we are not willing to pay, both for moral reasons and to avoid being billed for their social security decades hence.
Most boxes we packed ourselves, using inexpensive and effective boxes and supplies from Lowes, plus hand-tearable 3M packing tape from Amazon subscribe-and-save. The movers packed the china and other breakables, and the little big furniture we kept. (Cheaper to buy a new bed from Amazon than to move an existing one, though like pulling teeth to find anyone willing to take a used mattress.)
Anything we truly cared about rode in one of our two cars, and fit easily as there isn't all that much we couldn't stand being without. This included a safe of ammo in one car, and a safe of guns in another car. Keep them apart and very clearly unloaded when crossing multiple states, and keep both safes entirely out of sight.
Something that helped the drive a lot was a set of Motorola Family radios. There are large parts of the west where no one's cell phone works. But we didn't find anywhere we couldn't talk on the Family radios. Made coordinating stops and turns a whole lot easier.
We shared cell #s and emails with our driver - this vastly eased coordinating a move-in date and time, especially when it turned out our new street was unexpectedly scheduled to be torn up during most of the originally-planned move-in delivery window.
As another commenter suggested, ditch the printed books and go with Kindle versions before moving. Someday when you are living in a single room with only a bed and chair, you'll still have your entire library on a Kindle. Only exception is books you must have in printed form to be useful, such as those necessary for recovering from an EMP attack.
Similarly, I made a good digital photograph of every important bit of artwork, and now use those as daily-changing screensavers on our PCs, with only those our son still wants to inherit someday actually going up on walls at the new place. We also got a good high-speed scanner, and reduced several file cabinets worth of old papers to a small portion of our ReadyNAS storage system that is both locally and remotely backed up.
In the end, nothing at all broke, our movers were skilled and never even hinted at a tip, and pre-paying via credit card worked out perfectly.
Only change for next time, hopefully never, is that my wife now wishes she'd just let the pros pack all the boxes, regardless of cost. But the pros actually advised against that.
All in all, a great move, and I'm happy to recommend Allied-affiliated Reebie Storage & Moving Co. (www.reebieallied.com)
In the end, it's all just stuff, so lighten your load before you move.