If you are starting out, the easiest way to start getting facebook likes is to like other pages and see if they like youback, join like schemes, ie put your business page on a like ladder thread. Means you get likes from real people.
Don't do it too much, and dont be tempted to buy fake likes or followers, thats a short cut too far and a risky strategy.
Obviously the correct way is create engaging posts and let people like you naturally.
One trick we do on our twitter page is have an auto response that says like our FB page and we willlike you back.
Twitter wise its down to followers. Old tricks are to follow your competitors followers, and a proportion will follow back.
But social media is all about being social and regular posting. Post regular decent posts, make use of hashtags, if people like what you are saying, they will follow you, simples 