This was a small shop inside the old city. The owner found me in some alley there. While I am not a big fan of buying junk I do try and support the locals when I get a chance and this was that chance. There are probably other shops in the old city so keep your eyes open as you wander around.
What to buy: Futa is wrap around dress that Yemeni men wear.....desert air conditioning. Did not wear mine but have heard that they care quite comfortable when it gets hot (this is most of the time in Yemen)
What to pay: Bargain with them...I payed a couple of bucks for mine
In the dusty streets you will find a lot of antique shops. They're often seemingly closed, but ususally will readily open when you arrive.
What to buy: Although not unique, Shibam (Hadramawt) is probably the best place to find wooden objects, such as chests, "harem" windows, carved doors and other wooden furniture and objects. Some of the stuff would be difficult if not impossible to take with you on the plane, though. If it is (considered by customs to be) really antique you will furthermore not be allowed to take it out of the country.
What to pay: Go for what you like, not for what's supposedly real antique. Unless you're an expert it will be difficult to tell, as the methods to make objects appear old are mastered by the craftsmen. Besides, as it's a traditional craft you may question how much it matters when exactly the object was made. If you've decided on what you like, then bargain hard and you'll probably arrive at a satisfactory price. Keep in mind that even as the shopkeepers are not the poorest of the poor they're not very rich either. That remark is not too discourage you from bargaining hard. I just want to say that once you decide the price is right for you, buy it and don't look back on the price. Even if someone tells you later that you paid "way too much", it's a nice thought that at least a poor family (certainly compared to yourself) benefited.
Wooden chests may fetch anything between USD 20 and 1,000, depending on age, rarity, elaborateness (and audacity of the trader). In other words: hard to give any general guidelines about.