I see that many of you take a WHILE before introducing "the other" because you want them to already be comfy with you before they meet your "crazy for you" family, however me and mine are COMPLETELY opposite.
I like my mom to have a heads up on my new beau so that when i'm always around him, she won't have to worry about his character (which she ALWAYS DOES about everyone). So i like her to meet him well into the first month (just a note: I'm not one to just date. I have a boyfriend or nothin).
In addition, my boyfriend told me that he wanted me to meet his family early and he warned me about them. About a year after we were going out my boyfriend told me he wanted me to see what I would be gettin into for the rest of my life before he or I got too attached. If I know early and still want to be around then he knew that I could be THE ONE!!
I also believe that deeeeeeeeep down my mom knows somethin genuine when she sees it. She doesn't take well to too many people, but she lets me find out on my own. I like to get her opinion in advance to know what I need to keep around. LOL!
I say let your family meet him/her. If they can't handle it now, will they ever? Is he/she gonna try to take you away once they've decided that they don't like your family? Questions that can be answered if they are introduced early (before the 3rd month).
Just some things to think about