I have owned several blogs that I drew traffic to. Here are some of the methods I used.

Something that immediate comes to mind is sharing on social media. Tell your friends and family. You can also write articles for other relevant blogs (guest posting) and link yours. This takes a bit of effort to email other blog owners to see if they'll let you post. However, if their audience is substantial, it can bring you traffic.

Some SEO also goes a long way though it takes time. The best SEO tip I can give you is to write for humans and not search engines. More and more nowadays, search engines like Google want to promote websites that are truly useful to their users. One of the tips I can offer is to make sure your HTML markup is semantic. This helps search engines identify what kind of document it is. Make sure your images have alt attributes included as this also helps search engines identify what the image is about.

Having your site being mobile friendly (usually done through responsive design) is a big player as well. The internet gets accessed by mobile more than ever and the numbers are only growing. Make your user experience friendly for your users.

Lastly, find forums or discussion boards where your blog post would be relevant. Answer questions there and casually build trust in that network. Occasionally you can post a link there if allowed but having a community that trusts what you say will take you a lot further.

If you need help with any of the above, I'd be happy to have a call with you to help you work it out.