First: "EMF" does not mean "Electromagnetic field", "EM Frequency" (which isn't even a thing, though I've heard this term used) or anything of the sort. It stands for "electromotive force". Maybe coat yourself in resistors?
Anyway. While all electronic devices do necessarily produce some radiation, it's not the dangerous kind. The radiation from electronics typically lives in the microwave to radio area of the spectrum. This happens to any changing current in a conductor.
Now, understand a few things. UV, X-ray, and gamma radiation are dangerous because they are 1.) high frequency (wavelengths small enough to interfere with chemical bonds in cells) and 2.) high energy (they are incident on atoms with enough energy to ionize them). IR and Microwave radiation (the sort you can likely expect to be produced by your electronics and appliances) have wavelengths billions of times longer than UV, X, and gamma rays, far too large to mess with atomic bonds. As a result, they are also extremely low energy. They certainly have less energy and longer wavelengths than radiation in the optical spectrum (AKA visible light). So suffice to say, if the truly tiny amounts of low energy, low-frequency radiation from your computer or home wiring was dangerous, then visible light would be downright lethal.
Of course, if you're still concerned (which you shouldn't be) the FCC requires all electronics to be properly shielded so as not to produce electromagnetic radiation that may interfere with other devices (the only reasonable concern from radiation coming from your appliances).
berkeman said:
I've heard that tinfoil works well. You can form it into all kinds of useful shapes...
Just be careful about which one. The wrong shape might actually end up amplifying the signal, apparently:
http://web.archive.org/web/20100708230258/http://people.csail.mit.edu/rahimi/helmet/ (maybe the most delightful thing I've read all day).