Lunar eclipses occur when the Moon enters the Earth's shadow; therefore they can only occur at the time of a full moon. They're visible (weather permitting) from anywhere that's in the night-time half of the Earth at the time. Consequently any place on Earth will witness several lunar eclipses per decade.

If part of the Moon is inside the Earth's shadow then we see a partial lunar eclipse. If the entire Moon is inside the shadow then we see a total lunar eclipse. The boundary of the Earth's shadow is indistinct because of the Earth's atmosphere. The atmosphere also directs some sunlight onto the eclipsed Moon, illuminating it with a variety of dim red / orange / yellow colours.
A total lunar eclipse can last for up to 107 minutes and it's preceded and followed by at least an hour of partial lunar eclipse. During a total lunar eclipse you can also see nearly as many stars as you would on a moonless night.
Partial and total lunar eclipses are easily seen by eye or binoculars, and (unlike solar eclipses) you don't need any eye protection or filters. Binoculars or telescopes will let you watch the edge of the Earth's shadow passing across the lunar surface, and (sometimes) stars being eclipsed by the eclipsed Moon.

The Earth's shadow (umbra) is also surrounded by a partial shadow zone or penumbra, where part of the Sun is blocked by the Earth. If the Moon is only in this penumbral shadow then we see a penumbral lunar eclipse. Penumbral eclipses are usually difficult to distinguish from an ordinary full moon and so we haven't listed them below.



The partial eclipse photo above used similar mobile phone camera settings to a full moon (1/250 second @ ISO 60). The almost-total eclipse was 2 seconds @ ISO 100, which overexposed the remaining un-eclipsed bit of the Moon but shows the rest of the Moon well. The beginning of total eclipse was 1 second @ ISO 100, which is underexposed. These photos were all taken with a mobile phone camera looking through a tripod-mounted 10x60 binocular, which collects a lot more light that the phone camera can alone (and magnifies the view too).
For recent model mobile phones, you can manually focus their standard camera app by pressing a fingertip to the exact part of the image you want to focus (such as the Moon's edge). Then tap the part of the image you're interested in to adjust the exposure time. During a partial lunar eclipse, try alternating exposures between the eclipsed and un-eclipsed parts of the Moon.
Total lunar eclipses normally provide plenty of time to experiment with digital camera settings and preview the results. But the 26 May 2021 total eclipse lasted only 14 minutes, and for 12 of those minutes the Moon was totally hidden by clouds!

By contrast the 8 November 2022 total eclipse lasted almost 86 minutes and it was a mostly clear night. The digital camera photo below was taken through a 200mm lens, 1 second @ ISO 6400. Purple ticks indicate the planet Uranus, which coincidentally happened to be in almost the same direction.