Just in case you need a brief searching domains tutorial!
Write down all the domains that you believe applies to your web site content, product or service, pick your favorites, then perform a name search to see if they are available. From the domain names that are available select the name or names that appeal to you most. It is always good to ask another person's opinion too. Then when you feel good about your results, register your new domain.
Be patient while searching for a domain or you could end up buying more than you need.