1. Sony 46" 1080p LCD TV (bought for $1200 US)
Definitely skip the TV

2. Nintendo Wii (bought for $250)
Not sure about this one - could be more expensive here, but you'd need to ensure that your US Wii worked with the TVs here

3. food processor/juicer/blender (cost: $175/$50/$50)
Leave at home. Maybe bring the food processor, though - it sounds like you have a Cuisinart or equivalent. If you use it a lot then it might be worth purchasing a new one here, but they're pricey. If you use it occasionally then I'd bring it and use a transformer for it. You can get cheapie food processors here, but they won't be as good as the Cuisinart-type.

4. hair dryer/straightner (cost: $50/$75)
Leave at home - high-heat appliances don't work well on transformers. If you have a good-quality straightener then you'll want to skip the ones available in the stores here and opt for a professional-quality one.

5. 22" LCD Computer monitor ($200)
I'd bring it if it's dual voltage.

6. HP All-in-one printer ($250)
I'd bring it - probably not dual-voltage, but easy to use with a transformer. Bring some extra toner to tide you over until you can find it locally.

7. Indoor electric grill ($150)
Skip - another high-heat appliance. If your employer is paying for shipping then you might want to purchase an *unassembled* BBQ grill and bring it with you - they're expensive/junky here.

Using transformers is no big deal. You can purchase them over the internet in the U.S. and bring them with you (if the company pays for the weight - they're heavy). Transformers are not a one-size-fits-all thing, so you'll want to make sure that you have the right size transformer for the amps/volts of your electronic thingy.

Don't discount the PITA factor of finding what you need in Qatar. If the company is paying then it's definitely easier to bring it and pop it onto a transformer than it is to run all over Doha looking for something that you would take for granted in the U.S.

This is our third int'l posting and we've used transformers for plenty of things. They don't work for digital alarm clocks and they will eventually (after a few years) not work for your cordless phones, but otherwise we've had good luck with them. They also don't work as well for high-voltage appliances (skip using it for your vacuum cleaner), but for most of your sit-on-the-counter stuff they're fine. We've used it for our semi high-end stereo equipment for all three postings.

Hope that helps :)