If you weight the tall deli container, it should work perfectly. Alternatively, check your dollar store for ceramic pitchers or the like. I heard about waiting after I'd already gotten and handled Waldo and Scooby, and neither of them seems traumatized by it, but they were already about 8-10 weeks old when I got them, so they were a little bigger. I'd worry more about her making too big a jump and hurting herself than about her being traumatized by handling. They really do adapt to it very well over time.
Nemo is a cute name, and so is Piper. Are you waiting for months to find out which it is before sticking the name?