The Moon will start its pass through the Earth's penumbral shadow at 17:23 UT (20:23 Local Time) although this part will not be visible to the naked eye. At 18:22 UT (21:22 Local Time) the Moon will begin to darken as it enters the Earth's umbral shadow thus marking the beginning of the visible part of the eclipse. Greatest eclipse occurs at 20:12 UT (23:12 Local Time) and at this stage the Moon is expected to have darkened considerably as it will now be passing through the center of the Earth's shadow. At 21:03 UT (00:03 Local Time) the whole process goes backwards with the Moon beginning to exit the Earth's shadow marking the end of the visible part of the phenomenon at 22:02 UT (01:02 Local Time). The entire phenomenon ends at 23:02 UT (02:02 Local Time).
So to sum up, here's the local times for the visible part of the event:
Partial Eclipse begins: 21:22
Maximum Eclipse: 23:12
Partial Eclipse ends: 01:02
Here you can find all the relevant info for the phenomenon.
Below are the images from the March 3rd 2007 Total Lunar Eclipse.