This is a pickleball drill. In terms of the type of ball I would use in a setting, I would probably do racquetballs. Most of my tennis balls are pretty old so they wouldn't bounce as high. I imagine ping pong balls could work.

For my elementary kids, I usually have them catch 2 balls, but for the older kiddos, I will allow them try to three after a couple of minutes. 

Having to catch a certain ball in an order would be pretty tough but I usually use this as an instant type activity so I don't mind if they want to try something more challenging.