These are instead of pockets, as they haven't been invented yet, and can range from a simple drawstring bag to handsome leather designs with wooden or metal rods along the tops. Cloth or leather is the normal material for pouches. You should have at least one even if it's just to keep your money in. Pouches can also reflect social status - plain cloth would be of a lower status that plain leather. Stamped leather pouches would be of a lesser status than pewter / brass adorned leather or silk pouches. Here are a few of the common designs.
Larger bags are called guardians; these are made from linen, canvas or leather (I just added a stafford knot to mine). Often these bags were called pilgrim bags and could have a token on them. The black one has a lovers token on it.