USAF Diver:
The only things I would be putting on a transformer are my TV and DVD player, my computer and possibly my stereo equipment.
Computer and monitor
should be OK... almost all CPUs marketed in the U.S. in the last decade or so have a switchable power supply. Check the back, and see. Just make damn
sure you have the switch set to 220 before you plug it in the first time over there. Want to know how I know? (Actually it was a German computer shop that installed a power supply that I'd ordered from the States, without checking the switch... *poof*... they obviously bought me a new power supply, processor, and motherboard... slapping themselves on the forehead the whole time...)
You may want to buy a European power cord there, though... I hate plug adapters too (wobbly connections); plus they don't normally allow for grounding.
Get a good European surge protector!!! U.S. ones won't work.
And your monitor should be autovoltage... check for 115~230v on the back, or something similar.
Tom Smedley's right about getting your USAREUR driver's license first thing. It'll allow you to rent a car if you need to, while you're waiting for your own (are you shipping?).
Though I seem to remember that rule had change, as of the late 1990's... I was there as a DoD civilian then, and seem to remember that I could rent a car (German plates) right away even before I had a USAREUR license.
Though you won't be able to pick up your car, which needs USAREUR plates on it right away, without a USAREUR license.
--Marek