Uber questions

I have seen a few ads from poviders that offer outcalls but require you send them a uber to drop them off at your place. I sometimes stay at hotels and have been tempted to do the uber thing to bring providers to me but was wondering about privacy. Will they see my real name and number on the uber ticket or on their phone when the cab picks them up? Has anyone tried this?
I've used it that way a couple of times and it seems fine. You are the only one who sees the info. I do usually send the lady's name to the driver, and vice versa.
I would rather have them ad the UBER cost to the visit so theres no chance they decide to go run their errands shopping. Just ad the cost to the visit.im sure they can order uber on their own. Georgia's southe does