Allsgr8 I guess you haven’t seen the pump up close, it’s not too much bigger than the pod. It’s a smaller than todays average cell phones. To give you the exact measurements it’s 3 1/2″ by 2″ by 3/4″ wide. Besides if you keep in you thigh or slip the small size differences doesn’t matter. Just from the pics the pod looks bulky to me. The best idea would be to try them, see them up close and decide from there.
Don’t worry you’ll love whatever you get. I was also very concerned abt the discreetness, it so not an issue once you find the right place for it.