Moving from Baton rouge to phoenix

Hi everyone,

I hope you are all safe and healthy. I am reallocating at the end of the month and driving my smart there is sadly not an option because I need to bring my bed, furniture and stuff
I was considering renting a U-Haul truck and towing my smart car fortwo. Someone mentioned that I could rent a bigger truck than what I need (I have a one-bedroom apartment not a house) and just put the car inside. This to me sounds CRAZY but maybe it is a real thing people do, who knows. What do you all think would be the easiest way to move?
Thank you so much for your help