Moving advice for records

Here in a few short weeks, I’ll be moving from Texas to Kansas and we’ve hired movers and they’ll have my stuff delivered in a few days from my current house to the place in Kansas. Any advice for packing records or should I be worried about the heat? Most places said 3-4 days from pick up to delivery. I have tubs I was going to put them in for transport. Just kinda fielding out ideas. I would drive them with my but I can’t fit all them in my car. Thanks for the help