Domain names put a friendly face on hard-to-remember numeric internet addresses. Every computer on the internet has a unique internet protocol (IP) number. A domain name represents one IP number or more. For example, the IP number for the domain name whitehouse.gov is 184.108.40.206. The whole purpose is to give users an easy-to-remember handle so that when sending an e-mail to, let's say, the President of the United States, you can type email@example.com instead of the more unwieldy firstname.lastname@example.org.
There are numerous domain name registrars. Listed below are just a few, along with my comments, if I know anything about them. Note that the domain name industry is highly competitive, with prices wildly fluctuating throughout the year, every year, so it's impossible to really mention accurate prices below unless I spend all my time updating this page. Please check their sites for the latest rates. All prices below are in US dollars.
Keep in mind, however, that free domain names are usually free only for one or two years, after which the registrar will bill you for the annual or biennial fee. In other words, the provider of the free domain name pays only for the first billing from the registrar. Also take note of whether or not the provider charges a fee for setting up a domain name. Most services offer to transfer an existing domain name to their servers at no cost, but sometimes you'll find a setup fee over and above the registrar's fee.
Under no circumstances should you pay more to transfer a name than to get a new one. Check what the transfer will require. Does the new service handle the task completely? Or do you have to go into your current registrar's site and change the technical details manually? Finally, check the transfer policy of the registrar before registering your domain name.
In order to register any domain, you must provide certain personal information that you may not wish to be publically searchable in the Whois database. Signing up for WhoisGuard is a great way to keep your registration data private. WhoisGuard acts as a "shield" for your searchable information, displaying the address, phone number, and email of the domain registrar (Namecheap, e.g.) instead of your own. Keep in mind that WhoisGuard is an optional security add-on that must be renewed separately when you renew your domain.