You can register your website for free with major search engines.  Registering your website with search engines like Google gets your website indexed faster than waiting for someone to actually go to your website and building enough visit history to show up in search.

Google: https://www.google.com/webmasters/tools/submit-url?continue=/addurl

Bing (Yahoo uses Bing search engine): http://www.bing.com/toolbox/submit-site-url