To get your website listed in any search-engine, they first need to know about it! One of the best (and free!) ways is to go over to SubmitExpress. From their top menu select ‘Free Tools’, then ‘Free Submission’. Fill in your details and let the process begin.
After, you will be shown a list of search-engines your site has been submitted to, with links to manually submit any that couldn’t be done automatically. Go through these, too.
You will need to give your real eMail address as you will be asked to confirm your submission by several search-engines before you can be listed.