A solar eclipse happens when the Moon passes between the Earth and the Sun. If the umbra reaches the ground, the eclipse is total. If the Moon is too far away for the umbra to reach, a ring of sun remains and the eclipse is annular. A hybrid eclipse is total on some of the path and annular on the rest. Everywhere else in the Moon's half-shadow sees a partial eclipse.
A lunar eclipse happens when the Earth passes between the Sun and the Moon. Total means the whole Moon enters the umbra. Partial means only part of it does. Penumbral means the Moon only meets the outer shadow, which is easy to miss.
Never look at the Sun without a filter made for solar viewing. The NASA pages for each eclipse on this site give the greatest-eclipse instant in UTC and the regions named in the catalog. Local contact times for every city are not computed here.