iPage's web hosting packages start as low as $1.99 per month and they throw in domain registration for free during the first year, which makes them a bargain for very, very lean startups or one-person operations. They also have the classic domain name search portal, and provide a tutorial on the new TLDs that helps, considering a new one seems to be appearing every second or two.
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.
Now it’s time to see if your domain name choices are available. Once you’ve come up with a few strong domain candidates, it’s time to plug them into Namecheap’s domain name search bar. We will search available domain names for you and let you know if your first choice of second-level domain or TLD is available. We’ll also suggest some alternate TLDs you might try if your first domain choice isn’t available.