The difference between your house-without-wheels and your house-with-wheels is, that the house-without-wheels can have a wire being permanently connected to the rest of the internet.
You house-on-wheels, needs to use wireless technology.
There are two basic types of wireless technology, WiFi and cellphone towers.
For WiFi to work, you need to be fairly close to the WiFi router.
Cell phone towers have a much longer range for its wireless signals, so you do not need to be anywhere near as close to the cell phone tower, for its wireless signals to work.
With WiFi signals, you typically need to be some feet away. So typically no longer than 10 to 100 feet away from the WiFi device.
A WiFi device can be the WiFi router in your house-without-wheels, the WiFi at a coffee shop, or WiFi at the library etc.
But for it to work, you need to be no longer than 100 feet away (often closer than 100 feet).
For a cellphone tower signal to work, you need to be within miles of the tower, typically no longer away than 1-3 miles
You cellphone can connect to a cellphone tower.
You laptop or notePad may also have the option to have a sim card installed, and then your laptop or notePad can connect directly to a cellphone tower.
For many cellphones, laptops and notePads, it is also possible for them to convert and share their cellphone tower connection, as a WiFi signal.
There are special WiFi routers than instead of a wire to the internet, they use a cellphone tower signal for their internet connection, and then make a WiFi signal available for all of the devices in you house-on-wheels.
Using a device (a cellphone, laptop, notePad or PocketWiFi device) as a gateway between the cellphone towers and your local/private WiFi, is the most common way for houses-on-wheels to get an internet connection.
Most people living in houses-on-wheels combine these options, for internet connections, as a way to save on the bandwidth. As most cellphone tower solutions do not have unlimited download data plans.
For cellphone tower solutions you will want the 4G or 5G type. 4G is sometimes also called LTE.