You are much better off setting everything up before arriving. Go Port Canaveral offers packages including everything you need (
https://www.goportcanaveral.com/). If you wish to book independently the hotel from the shuttle, you can look at Cortrans, Happy Limo,
FL Tours and Tiffany Town Car. Recently, a lot of posters have reported using Uber or Lyft to go to PC at a lower rate than private car services or cabs.
If you have not reserved your stay at PC yet, have you considered staying at the Hyatt in MCO or an hotel near the airport and using the
DCL bus the morning of the cruise ? We used to take a limo to the Residence Inn but now we prefer staying at the Hyatt. It is much more convenient and stress-free. According to the new DCL policy, if you book the Hyatt through DCL, they collect your luggage in your room and you get it back at your stateroom on the ship. The morning of, you grab breakfast and go down to take the shuttle when you are ready without handling your luggage.