Easy, go here: https://www.google.com/webmasters/tools/...

Choose Google webmaster tool for google indexing.

You can submit your site in yahoo or google or most of other search engines for free. This will help the search engines know about the existence of your website and will be indexed for search results. Typically most of the search engines are based upon yahoo, msn or google and display the search results by using these search engines.

Here is the link to submit your site to Google.

http://www.google.com/addurl/

You need to login to webmaster tool for google verification and indexing status.