There is also what is called a ccTLD, or country code top-level domain. These are designed to signify sites located in or associated with certain countries or territories. Most of the ccTLDs actually don't have restrictions regarding who can register domain names. In fact, many ccTLDs are commonly misinterpreted as TLDs. For example, while .tv is commonly registered by television and media related websites, .tv is actually the ccTLD designated for the country Tuvalu. Domain hacks are also a popular use of both TLDs and ccTLDs. This involves creating a full word or phrase when combining the domain name with the TLD to create something your audience will easily remember. A popular example is using the .me ccTLD for Montenegro and combining it with "aweso" to create the domain aweso.me.
I’ve tried to be charitable to Verisign in my reading of Site-Finder-gate. Even then it seems quite clear that they were deep within the grey areas of their contract with ICANN, and that they knowingly acted against the spirit of the Internet that they’d been entrusted to build. That said, I respect the hustle — Verisign were, and continue to be, a publicly traded company with a responsibility to deliver value to their shareholders, and this quasi-bait-and-switch was a pretty inspired way to do it.
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.
NameCheap offers domain names to individuals and businesses, including a wide range of new TLDs that can draw further attention to your particular business segment. They also have a user-friendly control panel for buying domain names as well as offer hosting and tools for building your website. I personally used them to transfer over 25 domain names at once, and it took a few days and about three clicks. They're my go-to processor for names I'm just looking to hold.
Getting a domain name involves registering the name you want with an organisation called ICANN through a domain name registrar. For example, if you choose a name like "example.com", you will have to go to a registrar, pay a registration fee that costs around US$10 to US$35 for that name. That will give you the right to the name for a year, and you will have to renew it annually for (usually) the same amount per annum.