Congrats and good luck with the move, Clifford. My LP collection went over the Atlantic and back in a container ship so you shouldn't have too many problems. I ended up boxing them in substantial cardboard boxes and also utilising some old record cases that I had. For high value/rare items you might want to consider transferring them separately 'in person'. I think that's what I would do.
Sounds like you'll be near the Academy Records Williamsburg Annex with your move - and consequently able to spend an absolute fortune on rare and wonderful stuff before the rest of us punters get a sniff. Lucky you !