Appreciate all the responses.This drive is for the job change.So I can claim relocation for both fly/ship or driving.As you said taking the baby in car seat for a longer time can be an issue.I might have to take shorter breaks compared to driving alone.In flight it is going to be hours of struggle.
Shipping challenge is not sure when the car is going to come so till then need to manage with rental.
Any recommended car shipment company?