I've done the obvious like create a FB page and invite my friends. I've also created a Twitter.
What recommendations would you give to get the word out to more people?
Here's the link: http://vinstavids.com
If you cannot find one person who needs this like they need oxygen, it is highly likely that it is (regrettably) not the case that many people would enjoy this if they just knew about it. This suggests a simple and effective criteria for building products in the future, because you don't need to have the website actually coded to extract signal on "Do you need this like you need oxygen?" from people.
(Instagram/Vine pass this test in spades: while you could pick many, many potential use-cases, "Hey 14 year old popular girl, would you like to get constant public positive feedback from weakly attached friends?")
If so, you could try submitting your channel pages to relevant subreddits.
Or, if it's possible to make custom searches/channels on Vinstavids, perhaps using /some/combo/of?url+and+params, you could make custom channels for particular memes or topics, and try to promote those.
In other words, let the content you are aggregating be your carrot.