I picked up a bag of Meyer lemons the other day at the grocery store because they looked absolutely beautiful and I couldn't pass them up. I had never eaten one raw, and I highly recommend it... if you enjoy lemons otherwise. I love eating wedges of lemon and these are just a little sweeter version. My bag had about 7 of them so I wanted to find a couple other uses then just eating them straight. I did some Googling and found some articles on preserving lemons and how easy it was, so I decided to give it a shot.
Get yourself a jar that seals well, some kosher salt and your lemons. Cut a bit off each end of the lemon and then quarter them. Put a little salt in the bottom of the jar and cover the wedges in the salt as well. Cram those suckers in there, so much so that some of the juice squeezes out. Make sure that when the jar is full that there is enough juice to cover all the lemons, and add more juice if not.
Seal it up and label the date you crammed them, because now you have to wait 3 whole weeks to use them! Leave them on the counter for a couple days and then put them in the fridge for the rest of the 3 weeks. Flip the jar upside down every once in a while.
I read several places that you are supposed to discard the flesh and then only use the rind once they are preserved, but I say, hey, need salt and lemons in a recipe, use that part. After those 3 weeks, lemon it up to your hearts content! I used some to make a fish tagine that was... interesting, though I don't think the interestingness was the fault of the lemons.