It won't necessarily be a super easy project, but you could likely use an arduino, with a shield or two to do that.
The arduino is an "open source" relatively easy to program microcontroller. (ie no computer required, once you've programmed it).
"Shields" are daughterboards that can be connected to the arduino to provide all sorts of functionallity, from stepper motor control, to wireless, to pushbutton inputs, and led outputs.
You'd probably use an input board (to get input from the bill collector) and a motor control board (to control the stepper motor).
Just google "arduino", there's tons of stuff on it.