You can’t take a baby in a U-Haul. I can’t, or won’t, will not take a baby on a week-long road trip, much as I love the idea of a transformative cross-country road trip.
Also as it turns out, renting a U-Haul and dropping it off elsewhere is somewhere (far) north of $3,000. Plus gas. Plus lodging and food for the week it would take driving out there (42 hours of driving at the minimum).