There are 14 different types of DSL technology. But the types you'll need to pay attention to are ADSL and VDSL. You may see these terms in marketing materials for your internet plan.
The main difference between the two is speed. ADSL connections are slower, with ADSL2+ delivering theoretical maximum download speeds of 24Mbps and upload speeds of 3Mbps—although real-world results are usually slower. VDSL connections can deliver speeds many times faster: 300Mbps downstream and 100Mbps upstream, although, similarly, real-world conditions and distance erode these in application.