Use technology - Social plugins and SEO tools are a great thing to market your blog or a blog post. If you do not know about it, then learn it. It helps you reach out your audience in a better way and also improves the ranking of your blog.
Engage readers with well-researched and creative blog posts. At the end of it ask questions or feedback from them.
Grow your Blog Organically. Don't force/ask anyone to share, follow or comment on blog. Just focus on promotion.