I've been looking at LED light strips recently myself. They're great for this kind of situation. Some of them can be a little dim for task lighting, but still pretty good. They're all over Amazon.

The annoyance for me is that most of them can't be dimmed using my home automation system. I have to use an on/off appliance module in my ZWave system, because while the LEDs can be dimmed, it usually has to be done using transformers. It looks like there's one or two ZWave transformers starting to hit the market, though, so I'm getting more intrigued.
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Matt