For most topics that you could cover in your website, there is a corresponding list of directories that serve the communities of people dealing with similar topics.
Submit your website to relevant directories
Often to be added to these types of directories you will need to go through a submission process that can be drawn out and quite detailed. Don't be dissuaded by this, or the time it might take, the effort that you put in here can go a long way.
Submit your site to search engines
Don't forget that in order for the search engines to reference your site, they need to know about it. If your site is linked to from other sites, chances are they know about it already. Just do a search for the address of your site. If you see your site, then the search engines know about it.
If you don't see your site, you can get the process moving by submitting your site manually.
And if you have the soul of a writer, there is a couple places where you could submit an structured and documented article. An article that would be linked to your site of course.