I'm arriving in Livorno on a cruise and there is so much that we want to see that it looks like the only way without breaking the bank is renting a car to maximize our time so that we're not waiting for trains or other people on group tours.

I've come across some information online that car rentals will be available on the cruise pier right off the ship but I can't find any information that confirms when the cars will be there? like are they there as soon as the ship docks in port or at a later time? the challenge is that given all the locations we want to see giving up 2 hours waiting for them to get set up wouldn't be a great option either. If anyone has any experience or knowledge of renting a car at the port for the day would really appreciate it.