Here, we need to understand what a website accomplishes and how it boosts your prospects of an effective business. You get a fully cleared domain name from the registrar. They will issue a “universal resource locator,” which is the link you have directing you to your website. This makes your domain important and uniquely yours. What you get with a network domain is your dedicated spot/business/store on the internet.
If you register a domain with Bluehost when signing up for a hosting account, there is a domain fee that is non-refundable. This not only covers our costs, but ensures that you won't lose your domain name. Regardless of the status of your hosting service, you'll be free to manage it, transfer it after any required lock periods, or simply point it elsewhere at your convenience. You retain ownership of your domain until the end of its registration period unless you elect to extend it.
Domain name registrars, in case you didn't know, are the companies that manage all the website domain names you'll see (EG: Inc.com) - the fingerprint of your business, which may also include the hosting and privacy measures. For example, by default many companies will actually over-price the simple process of keeping your registration information private (which if it isn't can be found via a simple Whois search).
If you ever change your web host (the actual physical location of your website files), your domain name goes with you. Your regular visitors or customers who knew your site name as (say) www.thesitewizard.com would not have to be informed about a change of web address (also known as "URL"), since as far as they are concerned, the site is still at the same place. They would simply type your domain name and they'd be transparently brought to your new location.
HostGator is a company I used for many years with an old firm, and I've found them to be fairly reliable as a rock-solid grounding for a bandwidth-heavy site. Their control panel is also fairly powerful, allowing you to automatically control your fleet of names, as well as locking them down so that nobody can snipe them if you accidentally let a renewal lapse. Their prices are competitive but not the best, but I've found them to be immensely reliable in the past. Read our HostGator Review.