On a standard hosting (such as an ordinary company webserver or any web hosting) you can very simply host your maps. Just upload your map in the Folder format (created by MapTiler Engine as the "Folder with tiles" output) to your web hosting and the map is automatically available on the folder address.
GeoPackage and MBTiles format
For hosting of GeoPackage or MBTiles, you can use MapTiler Server or an open-source TileServer, which can be used with any standard hosting that supports PHP. Upload the created maps and get dozens of popular web viewers with interactivity, including Google Maps API, Leaflet, OpenLayers, WebGL Earth, and MapBox GL JS.