A domain name registration is simply reserving your website's name for a specified period of time. The two parties involved with a domain registration are generally the user who is registering the domain and the domain registrar. The domain registrant is the user who actually registers the domain name and the domain registrar is the company who helps that user with their domain registration.
A domain name can be used for a variety of purposes. Many people who are not ready for a website simply register the domain name of their choice to ensure it doesn’t get snatched up by anyone else. They may use it to create a professionally branded email address, or as a Web address that can point customers to an alternate online presence, such as their social media page, if they don’t yet have a website.
Registering a domain name lets you create a personal presence on the web. With your own web address, you can control your online identity by linking to any other site with more information about you. For example, you can register a domain name and forward it to a website, blog, or social profile page like your Facebook, LinkedIn, or Twitter pages. A domain name can protect your personal brand and help your career.
FatCow has one of the cheapest offers for an entire website package, with hosting and domain names for just thirty cents during your first month. After, that the price is $10.99 a month or $59.88 for the whole year, in a shared hosting package with enough bandwidth for most people. This is a limited promotion I found, but they still sell fairly well-priced packages (their "fat" options come with extras like marketing and advertising credits), and will gladly offer you perks for transferring your domains and hosting to them.
Absolutely. Owning 'yourname.com' (as well as related domains such as yourname.tech or yourname.me) is a great way to brand yourself and retain control over your name's online presence. With a personal domain name, you can set up a portfolio, blog, or hobby site that’s associated with your own personal life. You can also set up a custom email address like firstname.lastname@example.org allowing your visitors an easy and memorable way to reach you. So even if you have no immediate use for yourname.com, it's wise to register a personal domain to ensure that you (and not some stranger) control your name online.