You're looking at around 150 lbs of records, so hopefully they're in multiple boxes. If not, bring a friend. Shelf space will depend on the shelves in question, but I would figure about 6 feet of width. If your driving a long distance, make sure your records are in the air-conditioned part of the car to avoid warping, and take a spare key so you can leave it running and still lock it. But if its less than 2-3 hours, they should be fine in the trunk, after all shipping containers and truck trailers aren't air air conditioned and they made it to the record store at some point in their lives.
Are we there yet? No, never there yet. Keep it rollin', we're paid by the mile.