For your type of site, the single easiest way is to create a new Joomla site on the new host (same version number as existing site). Create an Akeeba backup on original site, restore Akeeba backup to new site (https://www.akeebabackup.com). Note: not affiliated with Akeeba in any way, just the easiest way to do it if you are not super technical. If technical, do a db dump of existing site, copy files to new site, update new configuration.php with any new host/directory changes, restore you...
A domain must be unique (for example there can only be one single Yahoo.com) and must be registered with a domain registrar (ie. NameCheap); while for sub domains, users can freely add it on top of the existing domain as long as their web host provide the service. Some would say sub-domains are the ‘third level’ domains in the sense that they are simply “sub folders” under the domain root directory, normally used to organize your website content in different languages or different categories.
FatCow wants to be friendly to you, your budget, and the environment, making it one of the more intriguing options for those looking to start their own website. FatCow gives you unlimited bandwidth, storage, and access to easy-to-use website builders. FatCow also utilizes wind power to run its hosting, which is pretty unique. The website has a bit of a cartoonish vibe compared to others, but it offers a ton of services that first-timers and veterans alike will appreciate. Ground zero of FatCow is the Weebly Drag and Drop Builder in the control panel that allows you to select your domain name or website address. Then, you just do as the icon says, drag and drop the elements you want to add to your web page. The sucky thing about FatCow is the super high renewal rate. Check 'em out below: 

If you not yet heard of FastComet – you are in good company. FastComet is one of the fastest growing, yet still less known, web hosting providers, but this is changing now, as word of mouth plays a role. Your site will be super-fast with their SSD-only disk storage, free CDN, and worldwide server locations. They offer perfect configurations and free tools for WordPress sites, in addition to shared hosting, dedicated server, and cloud hosting.
You gain the most web-building functionality if you create a self-hosted site. This typically involves transfering the free WordPress CMS to server or signing up for a web host's optimized WordPress plan. With an optimized plan, the host automatically handles backend stuff, so you don't have to worry about updating the plug-ins and CMS, and enabling automatic backups. In these instances, the WordPress environment typically comes pre-installed on the server.
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