El Parian is an arts and crafts market near Centro Historico in Puebla Mexico. In here you will find the famous Talavera pottery as well as other local goods at a very good price compared to the rest of the country. Feel free to bargain if you are buying more than 1 object. They will give you some discount. Near El Parian market walking towards the cathedral, you will also find a smaller market like place where indigenous people and other merchants sell their goods at a better price, however, since they are already selling at a very low price, i wouldn't ask for an additional discount (that's my personal opinion). keep in mind they have to eat. In fact some of those Parian merchants buy from them to resale.

There are a lot of national and international tourists so i can say it is a safe enough area. Still don't get too comfortable and be careful.