Your only legal choice for a pre-booked ride directly to your hotel is a car service.
(The shuttle services have a poor reputation and you'll have no control over where you are on their pick up / drop off schedule.)
Comparison price Dial 7 or Carmel (or the app services which are regulated as car services here)
P.S. This is the NY State forum, not the New York City forum.
Thank you! And sorry for the wrong post location.
We have used Dial 7 for many years and always found them to be reliable. However, 5 people means a larger vehicle which are usually SUVs, which may not work for someone with a knee injury. If that person needs a vehicle that is easy to get in an out then explain that to the person you make arrangements with - you may need a limousine that is low rather than an SUV requiring a large step up. They will resolve this for you - I know since I used them when I had an injured knee that would not bend properly.
The knee injury person will have endured plane travel. Cars are rarely as bad as that. I would just go to dial7.com and book the appropriately sized vehicle for your group and luggage. They make it very clear the person plus luggage capacity of each vehicle. Pick the right one and be honest about luggage. Not claiming small carry-on bags is okay but larger and especially rolling bags should be counted.