Riding with a youg child

I was planning a trip to Nashville with my 4, almost 5, year old. I wanted to stay a bit out of town for a better room rate and Uber or Lyft into downtown. Are there ways to order a ride with a carseat? Are they exempt from carseat requirements? whats the best way to do that. I rarely Uber or Lyft myself so I have very little experience with the services.