Jean, don't use newspaper..it is heavy, dirty and does not absorb jolts as well as bubblewrap.

Wrap the 2 items in tissue paper, stuff the bowl with more tissue or bubblewrap, but not too tight if you use bubblewrap.  Wrap each piece in bubblewrap (again, fairly loosely as Dave says).

Put into a box with packing peanuts or bubblewrap as packing and then a second box with packing between the two boxes.

I have found from experience as both a receiver and a sender of china for many years that the second box can be a bit of overkill, so if the inner box is sufficiently strong and big enough to have plenty of packing then you can probably get away with the single box.