Let's make this easy and to the point for you (as there is a lot to know about the 'domain name business'). We'll publish more detailed information and possible recommend trusted registrars soon and ongoing.
If you don't consider yourself 'knowledgable' about or 'experienced' with domain registration or domain registrars please let us suggest, that you
Today, many web hosting companies offer a free domain when you sign up for at least a 1-year hosting account. Sometimes you might find yourself in a position where you don't "own" the domain. Instead you have only the "use" of the domain as long as you stay with this particular host. Or if you are the registrant for the "free" or "cheap" domain, and you want or need to move your website, it might be a more difficult and/or lengthy process then you have anticipated, especially if the host itself is not a registrar and has registered you domain with a registrar that you as an individual cannot access.
There are combination of host/domain registration that can work together, but as stated above, you should know to ask the right questions. We will get later into this issue, for the readers that might be interested to learn more.
We cannot stress enough to chose a registrar with a good customer support, as your domain name is your business name in the Online World, and you don't need any problems down the road with your domain.
If in question, feel free to contact us, and we will try our best to advise you ASAP.