There are dozens, if not hundreds of hosting services. We used to use InMotion Hosting.
Just put web hosting into a Google search to see a bunch of links listing what they think are the current top 10 choices.
And unless you can build a web site by manually typing all HTML, JavaScript, Ajax, and whatever else in a plain text editor, you're going to need a web development app. One of the very few that are stand-alone, perpetual software is Sitely.
Most are online services where you both build your site in a browser interface, and host your site at the same place. The downside is if you stop paying your monthly fees, not only does the site go away, but so does all of your work.