Two main types of telescope mounts – Alt-azimuth and Equatorial – are compared here including their benefits and an idea of how they work!
There are a few basic telescope mountings:
Are there benefits then to the Alt-azimuth? Well, it's sheer ease of use makes the alt-azimuth mount a fairly popular choice with general interest astronomers who may not track or follow particular objects over a long period of time. This mount is also more portable, easier to set up and are stable supports for your telescope, minus a hefty price tag.
Equatorial mounts may take some getting used to and you will need to polar align your EQ so that its lined according to the shape of the equator.