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.
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.
Most people assume a domain name ends in .com so if you buy a domain name with one of the other extensions (.net, .info, .org, etc.), you’ll have some extra work to get people to remember that your site has a different extension. Don’t automatically assume you should only buy domains with .com, though. Many sites have done quite well with other extensions. (Look at us!)
Namecheap — This company provides .com domains for $10.69 (plus 18 cents) per year ($9.69 if you transfer from other registrars). Along with your domain, you get free email forwarding, free web redirection (where anyone going to your domain is automatically directed to another address of your choice), free domain name parking, etc. For the first year (or at least, at the time I checked their prices), you can also have their WhoisGuard (where your particulars are masked from public view) for free. They have a wide variety of domain name extensions available, including .net, .org, .biz, .info, .us, .co.uk, .co, .de, etc. You can use either a credit card or PayPal for your purchases.
Every time you visit a website, your computer performs what's called a "DNS lookup". When you manage a domain with us, you get to use the same DNS servers as Google. This means your domain name will connect quickly and reliably to your website. We include 10 million resolutions per year for each domain you register with Google Domains. Learn more in the Help Center.