When the Internet first started, users had access to the Internet through a dial up connection which required to link their phone line to a computer. It didn't allow users to make or receive phone calls through their home phone service while using the Internet and the transmission speeds were very slow.
ADSL also uses the copper telephone wires but it's faster and allows to use the Internet and your phone line at the same time. It requires an ADSL modem which is easy to setup.
Cable service connects to the Internet via cable TV using wiring that may be copper or fibre-optic. This connection is more expensive and it's not available everywhere. Fibre optic cables offer the fastest speeds of all.
Laser beam is a type of connection through air used in remote villages. It has almost 0 latency and it's easy to setup because it doesn't require any particular equipment. On the other hand, fog, flying object and heavy rain can interfere with the connection. It can't reach over 2-3 km and it used by stock brokers, drones and in military bases too.
Satellite system connects to the Internet through a satellite dish. It can be used in remote areas, but data speeds are slow and variable. The connection may be affected by weather conditions.
3G and 4G service is most commonly used with mobile phones, and it connects wirelessly. There are no set-up costs and it's available everywhere but the drawbacks are usage limits, varying speeds and unstable connections.