I have 5 people with me. Which car service holds 5? or 6?

That would be the SUV services or Minivans

If you have 5 or 6 passengers, you would need an SUV or Minivan services.  They are available upon request from rideshares like Uber and Didi, taxis and limo/car services.

With taxis, you can request a larger car, say a minivan, that can seat up to 6 passengers.  In most cities, there is no additional cost for making this request.

For rideshares like Uber, Lyft, and Didi, you can order their SUV services.  For example, Uber offers UberSUV and UberXL, and Lyft offers the Lyft Plus.

Limo companies also provide larger cars upon request.

Remember the luggage! You also want to consider for the space for the luggage. While you can fit up to 6 passengers in the aforemention services, you will also need space to place your luggage.  If you had fewer people, you could place your bags and suitcases in empty seats, but if you do not, you would need to stow everything in the cargo area or the trunk.  Here's a good guide: How much luggage can I bring in my Uber/Lyft?

Regarding the Fare: With the exception of taxis in regulated markets, they do charge more for requesting larger cars.  Make sure to use RideGuru's calculator to estimate the increased fees.   It's also important to remember that the fares provided are for all the passengers in your party regardless of how many.

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Uber Driver, CEO of TaxiFareFinder and Unleashed, LLC