If you have cats, I would spring for the white boxes. They have enough head space that if a cat lies on the box, they won't crush the records. Considering how much money is in one box of records, the white ones are worth it if they are going to be shuffled a few times. I say this because I'm selling records and it is a struggle keeping a cat away from cardboard! The Uhaul boxes fit about 25% more than a Kallax.
It's only a cross town move so my plan is to pack them up and store them at my parents house for a few days so they're not banged around (no cats there).
@dbarila I wanna say 50~ I remember just buying a bunch because they're good boxes for almost anything you're moving too. I think 1 box = 1.5 Kallax cube. Also they're sturdy where I didn't feel like I needed to stuff the sides with cushioning. If you're only going across town they should work well