Is there a Uber big enough for 5 people, 2 large suitcases, and 4 cabin luggage?

UberXL and UberSUV can accommodate up to 6 people...plus luggage.

As you might be aware, UberXL and UberSUV give you the best options as they can accommodate up to 6 people.  Some such as the Yukon and Suburban can accommodate for 7 passengers.

Possible UberSUVs: Cadillac Escalade ESV, Chevrolet Suburban (LT or LTZ), GMC Yukon XL, Infiniti QX56, QX80,Lexus LX, Lincoln Navigator or Navigator L, or a Mercedex GL-Class.

UberXLs are any SUVs but they tend to be smaller as they are considered as any SUVs, such as Toyota Highlander, Honda Pilot, Ford Explorer, etc. that can accommodate up to 6.

Of course, the potential issue is with your luggage.  They must fit into the space available such as the trunk.  This entirely depends on the amount of your possessions. 

These relevant threads may help:

Are commercial vans permitted/allowed/exist for Uber?

ippei 1202

Uber Driver, CEO of TaxiFareFinder and Unleashed, LLC