Download both Uber and Lyft apps on your phone and sign in to each of them. They will alert you that you have a discounted first ride.
After you get your baggage, go to the ride share spot (there's signs, I believe). Open each of the apps, and enter in your destination. It will tell you the expected fare. Choose the lower one between the two companies for the size of vehicle you want. Or choose based on your airline milage points carrier. The price won't change for the ride while you are on it. Click "request ride." In a minute or so, it will tell you to look for make, model, color of car, with license plate number, a picture of the driver, and how far away they are (along with a map). When the vehicle shows up, they usually ask if I'm Mimi going to address, but not always; it's becoming more common. I confirm license plate, and that the driver looks like the picture.
They usually load my bags for me. I always get into the back passenger-side seat, but with 4 people, someone will end up in front (usually my Hubs, if he's with me). I screenshot and send the info to my "safe person" (our adult daughter that doesn't travel with us) just in case. The app will tell you the most direct route (they will follow this route; they sometimes have 2 options, in which case they ask me if I have a preference). The app will continue to follow the car on a map the whole trip, along with how far to your destination.
When you arrive at your destination, I do a quick stealth picture of where I've been sitting; there used to be some unscrupulous drives that would charge "cleaning fees" so it's just a little way to cover yourself. They unload the luggage, and wish you well. About 5 minutes later, you'll get a notice from the app that your ride has been completed. Open the app, rate the driver, add a tip of you believe they earned it, and click to complete the transaction.
It's really easy, and the apps work the same.