Once, early on in my craft show days, a woman bought a cup and plate. Her husband said, "What do you want that for? Isn't it going to scratch the furniture?" He was a grouch, but his words spoke a truth I remember to this day.
So lately (having learned this from the videos of the potter Hsin Chuen Lin) I polish the foot ring of bowls and smooth the bottoms of pots that seem scratchy. I have some pots left (nice, and inexpensive because they've hung out with me a while,) that were made of a groggy brown clay, and I did my best to smooth the feet of those pots. In the last six months, I began working with porcelain. You may not know it, but without a bit of smoothing, most unglazed porcelain (like the part that touches your table), is not naturally very smooth.
When I am done trimming a foot into the pot, I take a glossy river rock or a smooth glass pebble, and while the wheel is turning, I polish the surface of that foot till it feels nice and smooth.
A closer look at the shiny pebble and the foot turning around and the harmony they are making.