Don’t be swayed by a deal. If moving an entire household cross country go with recognized and reputable service. Be very careful I made a big mistake a couple years ago and got involved with what is known as hostage movers. They give you quote, then come and get your stuff and upon delivery jump the price to the maximum amount to keep them out of trouble with USDOT but if you don’t pay they just drive away.
We moved to Florida from Texas. Used ABF UPack. Only charged us for the amount of the trailer we used. Hired loaders on both ends. Best way