A long while back, Elijah Wood was doing an interview on the Daily Show to promote The Fellowship of the Ring. During the interview, he mentioned that he, and the other nine members of the fellowship cast, had all gone out and gotten tattoos of the numeral nine... in elvish. At the time I thought that was just a little bit strange but, in retrospect, I should have realized that there is a reasonably significant demand for Elvish tattoos.
Of course, if one is intent on demonstrating that they are way more geeky than those stupid Klingon poseurs, you can't just run out and get a bunch of random gibberish stamped on your tramp. On no, you must do it properly!
A good place to start would be to find out what your Evlish name is (in my case, that would be Suiadan), but that's only the first step. Once you have your name, you need to know how to write it in Elvish script, bearing in mind that there are several dialects of Elvish as well as numerous calligraphic scripts that you can choose from. (If this intimidates you, you could always cheat with a bit of software.)
This may seem like a lot of effort but if you are a True Tolkien Geek, this will absolutely and permanently establish your Elf Cred. Who knows, you might even meet someone who shares your passion which would mean that you'd eventually need to send out Elvish wedding invitations.