Asalam Alaikum,
A mutti ki handi is a clay cooking pot. In our house here in Pakistan we have two, and strangely I am the only one who uses them. My family sees them as old fashioned and prefers to use a regular steel pot. I think they are very pretty. They usually have some sort of design painted around the rim, the top half of the outside and the whole inside is glazed. Here is a picture of one of our handi-
The mutti ki handi has three pieces. The main cooking pot has a round base, and comes with a stand to rest it in(bottom right) so that it doesn't roll around, and also a lid(bottom left).