Good Questions: Cleaning Wood Blinds?

Danielle has a good question: Do you have any tips on how to clean wood blinds? We have them in two rooms and all are covered in dust. Plus, I'm even more embarrassed to admit, the kitchen ones also have a light film of grease thanks to our non-venting stove hood.

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I've tried dusting them, but with the cords running through them, it never seems like I'm doing a very good job. Please help!

Cleaning fans, we know you are out there - please share your wisdom with Danielle in the comments below...