Yes, I paid about $25 USD from EZE to my apartment in Palermo. I just used the stand right to the left when you exit customs. I'm not sure of the company but they all charge about the same thing. I used my credit card and that is what I paid several weeks ago.
Uber is all over so you don't need a driver to wait. I'm sure you can hire him/her but what is the point? Just get a new one after you visit each place. Not hard!