I have a site that would really work well on facebook as far as being shared with friends naturally. My question is, I've never really tried to market it at all. I'd like to give it a go.

It's a 'social game' (but not like a flash game or anything like that). It's something people would likely share with their friends anyway.

My question is, what's the best way to really get the link out there, so people on Facebook can start sharing it? I just to get a bunch of REAL people to start posting it on their feeds.

I was thinking about buying a bunch of fiverr gigs that offer that (but I know a lot of those accounts are just absolute crap). How would you go about it ?

1st: buy some fans (maybe 2k on fiverr) to give your page a better look (noone will like a page without other liks)
2nd: look on ebay to buy ads on big fanpages to promote your site
3rd: share this site on other big fanpages by yourself
4th: deliver good content