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HostPapa is mostly known for its web hosting services, but it also helps users with finding and transferring domain names. It doesn’t have a domain name generator per se, but if you search for the wanted domain name or keyword with their domain search, HostPapa will let you know if it’s available and also you’ll be given hundreds of alternative (primary, country-specific, premium) domain names and different extensions to choose from.
8 Rules for Choosing a Domain Name - Whiteboard Friday

It’s chock full of some pretty sweet features that will make your content managing life easier, leading its devoted fans to argue it’s even better than WordPress. You can split-test two versions of web and landing page examples, build in easier content transition, take a deep dive with Google Analytics, for truly detailed marketing analytics, and even let HubSpot CMS analyze your pages to help you optimize them for higher search engine ranking.
It doesn’t happen that often, but trust me sometimes it does. For instance I had 3 domain name ideas for a blog of mine that I started a while back, out of the 3 domain names, I had 2 that were really good and couldn’t decide between them, so I said it’s best to take some time off, do some other things and then come back and see which one I like the best.
Owning your domain name is an important part of your success online. In an ideal world, you will own sites associated with your brand before it has strong public recognition. This reduces the risk that someone else will buy the name, forcing you to purchase it for a great deal more than a few dollars. If your brand is well established, you may need to be a little more creative in coming up with an alternative domain name, if the obvious choices aren't available.
I agree with you that Pulse CMS offers an interesting way to go, without databases. Before moving all my sites to WP over the past two years, I had always felt reluctant to use databases: but testing WP had convinced me to go ahead. Although I do not use it at this point (I played a little bit with previous versions), I bought a Pulse CMS license, if only in order to support that interesting project. I do not rule out using it for a site some day, at least experimentally.