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When you create a page on Facebook (for example) to promote your blog site, make sure your 'Description' is informative, concise, and simply written (no high falutin words, please).
One of the best ways is to simply conduct a poll and ask opinion of your readers/followers. It will give you a great insight into what they are looking for and want from you. Take the results of this poll to generate new content which will help your readers.
You can also see what is trending on the social media and write a post expressing your point of view on it. But make sure it is relevant to your domain.These are just some of the ways of utilizing social media.