I've spent some time in Kuwait. The electrical system generally matches the UK. In hotels, I've run into a few universal jacks where you can plug most things in. Bathrooms have a low amp shaver plug which can be switched from 110v to 230v. The plug is generally designed to take US and Continental European style round two pin adapters. In a pinch, these jacks can charge a US cellphone.
Business class hotels almost always have a dryer and iron in your room. Typically, you get a tea kettle with Nescafe packets. Why a region of the world which loves its coffee can possibly enjoy Nescafe is a mystery to me. My thought is because it works best with tea service. Most rooms I've had contain a refrigerator.
What do you need a step down transformer for? Before you shlep one to the Middle East and back, put all the electronics you want to take in a pile and go through them reading the stickers. Most electronics now say something like "100-240VAC" which means that they can be run in any jack up to 240VAC. A few hotels I've been to also have 110volt plugs by the desk. This tends be a higher end amenity that goes with the mint on your pillow.
If you take a hair dryer, curling iron, etc., this might be different but then you want a higher amperage adapter and the really small cheapo devices that are sold for too much in luggage shoppers are a bad idea. You want something with a little substance and which will not be hanging out of a 230 light socket improperly weighted and poorly fitting.
You can buy a dual voltage hairdryer at CVS. It isn't advertised as such, read the side of the boxes, there is one that is dual voltage. Amazon.com sells a bunch of dual voltage stuff. My theory is make my travel appliances all dual voltage and I won't get in trouble.