After analyzing over 10 years of vehicle crash data, the AAP has concluded, "The most dangerous thing that U.S. children do as part of daily life is ride in a car. Motor vehicle crashes remain the leading cause of death for children 4 years and older."
While car seat safety laws vary by jurisdiction, child safety seat recommendations are nationally recognized. As of August 2018, it is now recommended everywhere that rear-facing child safety seats be used for infants and toddlers from ages 2 -4 years old. As the CDC site says, "For the best possible protection, infants and toddlers should be buckled in a rear-facing car seat, in the back seat, until they reach the maximum weight and/or height limits of their car seat."
What about Uber...can my baby ride? According the Uber's website, carseats can be requested when using an UberX vehicle by choosing the "car seat" option after selecting a vehicle.
Here are the child safety seat laws for your jurisdiction:
And here are the CDC national reccomdations for car seats, booster seats and child restraint: