Don’t forget looking into USPS book rate shipping. I used it for 20 boxes of books two years ago. Worked beautifully and the price was very good.
In every one of the five substantial moves I’ve made since I left home for grad school in 1985 (none less than 900 miles), I’ve ALWAYS sent my books this way. It saves a TON of money, since movers charge by weight, generally, and books are the heaviest things most of us have. I did the math on one of these moves and the savings for 35 boxes of books were on the order of $600.