Travel to New Orleans without a carseat?

Is it possible to travel from the airport to the French Quarter with a baby without a carseat?  We don't have a car since we live in a big city and so I don't know that I can safely get a carseat in and out of a cab.  It looks like there's a bus that goes to the midcity area and from there it would only be a few blocks to our hotel.  Does that seem like it would work?  Any other ideas?  Thanks!